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Isabel Maria da Costa Salavessa. Completed the Licenciatura in Matemática in 1983/09/30 by Universidade de Lisboa Faculdade de Ciências and Doctor of Philosophy in Doutoramento em Matemática in 1987/12/15 by University of Warwick Mathematics Institute. Is Principal Investigator in Universidade de Lisboa Instituto Superior Técnico. Published 30 articles in journals. Supervised 1 PhD thesis(es). Supervised 2 MSc dissertation(s). Has received 3 awards and/or honors. Works in the area(s) of Exact Sciences with emphasis on Mathematics. In his curriculum Ciência Vitae the most frequent terms in the context of scientific, technological and artistic-cultural output are: Submanifolds; Isoperimetric inequalities; Constant Mean Curvature; Spectral Geometry; Laplacian; Geometric flows; Rigidity ; .
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Identification

Personal identification

Full name
Isabel Maria da Costa Salavessa

Citation names

  • Salavessa, Isabel
  • Isabel M.C. Salavessa
  • I.M.C. Salavessa
  • IMC Salavessa
  • IMD Salavessa

Author identifiers

Ciência ID
531C-9394-C6B2
ORCID iD
0000-0002-2858-0823

Email addresses

  • isabel.salavessa@tecnico.ulisboa.pt (Professional)

Telephones

Mobile phone
  • 966576875 (Personal)

Addresses

  • Instituto Superior Técnico, University of Lisbon, Pavilhão da Física, Piso 2, Av. Rovisco Pais, , 1049-001 , Lisboa, Lisboa, Portugal (Professional)

Websites

Knowledge fields

  • Exact Sciences - Mathematics

Languages

Language Speaking Reading Writing Listening Peer-review
Portuguese (Mother tongue)
English Upper intermediate (B2) Advanced (C1) Upper intermediate (B2) Advanced (C1) Advanced (C1)
French Elementary (A2) Advanced (C1) Elementary (A2) Intermediate (B1)
Education
Degree Classification
1985/09/01 - 1987/12/15
Concluded
 Doutoramento em Matemática (Doctor of Philosophy)
Major in Geometria Diferencial e Análise Global
University of Warwick Mathematics Institute, United Kingdom
" Graphs with Parallel mean curvature and a variational problem in conformal geometry" (THESIS/DISSERTATION)
1978/09/01 - 1983/09/30
Concluded
 Matemática (Licenciatura)
Major in Geometria Diferencial
Universidade de Lisboa Faculdade de Ciências, Portugal
 19
Affiliation

Science

Category
Host institution 		Employer
1997/09/15 - Current Principal Investigator (Research) Universidade de Lisboa Instituto Superior Técnico, Portugal
1992/12/01 - 1997/09/14 Research Assistant (Research) Universidade de Lisboa Instituto Superior Técnico, Portugal
1988/10/01 - 1992/11/30 Research Assistant (Research) Instituto Nacional de Investigação Científica, Portugal
1991/01/01 - 1991/12/31 Visiting Researcher (Research) University of Maryland at College Park Department of Mathematics, United States

Teaching in Higher Education

Category
Host institution 		Employer
1985/11/01 - 1988/09/30 Assistant (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Departamento de Matemática, Portugal
1983/10/01 - 1985/10/31 Tutor (University Teacher) Universidade de Lisboa Faculdade de Ciências, Portugal
Universidade de Lisboa Departamento de Matemática, Portugal
Projects

Grant

Designation Funders
2012/01 - 2014/12 Special Riemannian Geometries
118682
Provided by PTCRIS: 118682
 Fundação para a Ciência e a Tecnologia, I.P.
2010/01 - 2013/05 Eigenvalues of the Laplacian: analytic, geometric and computational aspects
Provided by PTCRIS: 101007
101007
 Fundação para a Ciência e a Tecnologia, I.P.
2007/01 - 2008/04 Special Holonomy Geometry
82203
Provided by PTCRIS: 82203
 Fundação para a Ciência e a Tecnologia, I.P.
2005/05 - 2007/12 Special Holonomy Geometry
Provided by PTCRIS: 60671
60671
 Fundação para a Ciência e a Tecnologia, I.P.
Outputs

Publications

Conference paper
  1. Li, Guanghan; Salavessa, Isabel M. C.; Salavessa, Isabel. "MEAN CURVATURE FLOW AND BERNSTEIN-CALABI RESULTS FOR SPACELIKE GRAPHS". Paper presented in Proceedings of the VIII International Colloquium, Santiago de Compostela, Spain, 7 – 11 July 2008, Santiago de Compostela, 2009.
    Published • 10.1142/9789814261173_0016
  2. Salavessa, Isabel; Valli, Giorgio. "Minimal submanifolds of Kähler-Einstein manifolds without complex directions and of half dimension". Paper presented in Summer School on Differential Geometry, Coimbra, 1999.
Journal article
  1. Pedro Freitas; Jing Mao; Isabel Salavessa. "Pólya-type inequalities on spheres and hemispheres". Annales l'Institut Fourier (Grenoble) (2024): https://aif.centre-mersenne.org/articles/10.5802/aif.3657/.
    10.5802/aif.3657
  2. Freitas, P.; Salavessa, I.. "Families of non-tiling domains satisfying Pólya’s conjecture". Journal of Mathematical Physics 64 12 (2023): http://dx.doi.org/10.1063/5.0161050.
    10.1063/5.0161050
  3. Salavessa, Isabel; Salavessa, Isabel M. C.. "Heinz mean curvature estimates in warped product spaces M×e¿N". Annals of Global Analysis and Geometry 53 (2018): 265-281. https://link.springer.com/article/10.1007/s10455-017-9577-x.
    Published • 10.1007/s10455-017-9577-x
  4. Salavessa, Isabel; Ferreira, Ana Cristina Castro. "Dirichlet principal eigenvalue comparison theorems in geometry with torsion". Journal of Mathematical Analysis and Applications 453 2 (2017): 700-723. https://www.sciencedirect.com/science/article/abs/pii/S0022247X17303840.
    Published • http://doi.org/10.1016/j.jmaa.2017.04.030
  5. Salavessa, Isabel; Salamanca, Juan. "Uniqueness of ¿-minimal hypersurfaces in warped product manifolds". Journal of Mathematical Analysis and Applications 422 2 (2015): 1376-1389. http://www.sciencedirect.com/science/article/pii/S0022247X1400852X.
    Published • http://doi.org/10.1016/j.jmaa.2014.09.028
  6. Salavessa, Isabel; Freitas, Pedro .; Mao, Jing; Salavessa, Isabel M. C.. "Spherical symmetrization and the first eigenvalue of geodesic disks on manifolds". Calculus of Variations and Partial Differential Equations, on-line first 51 (2014): 701-724. http://link.springer.com/article/10.1007/s00526-013-0692-7.
    10.1007/s00526-013-0692-7
  7. Morgan, F.; Salavessa, Isabel. "The isoperimetric problem in higher codimension". Manuscripta Mathematica 142 3-4 (2013): 369-382. https://link.springer.com/article/10.1007/s00229-012-0604-8.
    Published • 10.1007/s00229-012-0604-8
  8. Salavessa, Isabel. "Stable 3-spheres in C^3". Journal of Mathematics Research 4 2 (2012): http://www.ccsenet.org/journal/index.php/jmr/article/view/13403.
    Published
  9. Freitas, P.; Salavessa, I.; Salavessa, Isabel. "A spectral Bernstein theorem". Annali di Matematica Pura ed Applicata 190 1 (2011): 77-90. https://link.springer.com/article/10.1007/s10231-010-0139-0.
    Published • 10.1007/s10231-010-0139-0
  10. Li, G.; Salavessa, Isabel; Salavessa, I.M.C.. "Mean curvature flow of spacelike graphs". Mathematische Zeitschrift 269 3-4 (2011): 697-719. https://link.springer.com/article/10.1007/s00209-010-0768-4.
    Published • 10.1007/s00209-010-0768-4
  11. Albuquerque, R.; Salavessa, I.. "Erratum to: The G2 sphere of a 4-manifold (Monatsh Math, (2009), 158, (335-348), 10.1007/s00605-008-0053-3)". Monatshefte fur Mathematik 160 1 (2010): 109-110. http://www.scopus.com/inward/record.url?eid=2-s2.0-77950296655&partnerID=MN8TOARS.
    10.1007/s00605-010-0191-2
  12. Salavessa, I.M.C.; Salavessa, Isabel. "Stability of submanifolds with parallel mean curvature in calibrated manifolds". Bulletin of the Brazilian Mathematical Society 41 4 (2010): 495-530. https://link.springer.com/article/10.1007/s00574-010-0023-y.
    Published • 10.1007/s00574-010-0023-y
  13. Li, G.; Salavessa, I.M.C.; Salavessa, Isabel. "Bernstein-Heinz-Chern results in calibrated manifolds". Revista Matematica Iberoamericana 26 2 (2010): 651-692. https://projecteuclid.org/euclid.rmi/1275671315.
    Published
  14. Li, G.; Salavessa, Isabel. "Graphic Bernstein results in curved pseudo-Riemannian manifolds". Journal of Geometry and Physics 59 9 (2009): 1306-1313. https://www.sciencedirect.com/science/article/pii/S0393044009001065.
    Published • 10.1016/j.geomphys.2009.06.011
  15. Albuquerque, R.; Salavessa, I.M.C.; Salavessa, Isabel. "The G2 sphere of a 4-manifold". Monatshefte fur Mathematik 158 4 (2009): 335-348. https://link.springer.com/article/10.1007/s00605-008-0053-3.
    Published • 10.1007/s00605-008-0053-3
  16. Li, G.; Salavessa, I.; Salavessa, Isabel. "Forced convex mean curvature flow in Euclidean spaces". Manuscripta Mathematica 126 3 (2008): 333-351. https://link.springer.com/article/10.1007/s00229-008-0181-z.
    10.1007/s00229-008-0181-z
  17. Salavessa, I.M.C.; Salavessa, Isabel. "Spacelike graphs with parallel mean curvature". Bulletin of the Belgian Mathematical Society - Simon Stevin 15 1 (2008): 65-76. https://projecteuclid.org/euclid.bbms/1203692447.
    Published
  18. Albuquerque, R.; Salavessa, I.M.C.. "On the twistor space of pseudo-spheres". Differential Geometry and its Application 25 2 (2007): 207-219. http://www.scopus.com/inward/record.url?eid=2-s2.0-33947428848&partnerID=MN8TOARS.
    10.1016/j.difgeo.2006.08.004
  19. Salavessa, Isabel; Li, Guanghan. "Space-time formulation for curvature flow of high codimension". JP Journal of Geometry and Topology 6 no.3 (2006), p.303-318 6 3 (2006): 303-318. http://www.pphmj.com/journals/jpgt.htm.
    Published
  20. Salavessa, Isabel M. C.; Do Vale, Ana Pereira; Salavessa, I.M.C.; Do Vale, A.P.; Salavessa, Isabel. "Transgression forms in dimension 4". International Journal of Geometric Methods in Modern Physics 3 5-6 (2006): 1221-1254. http://www.scopus.com/inward/record.url?eid=2-s2.0-33750124452&partnerID=MN8TOARS.
    Published • 10.1142/s0219887806001442
  21. Salavessa, Isabel. "On the Kähler angles of submanifolds". Port. Math. (N.S.) 60 2 (2003): 215-235. https://www.emis.de/journals/PM/60f2/.
    Published
  22. Salavessa, Isabel M.C.; Valli, Giorgio; Salavessa, Isabel. "Minimal submanifolds of Kähler–Einstein manifolds with equal Kähler angles". Pacific Journal of Mathematics 205 1 (2002): 197-235. https://msp.org/pjm/2002/205-1/p10.xhtml.
    10.2140/pjm.2002.205.197
  23. Salavessa, I.M.C.; Valli, G.. "Minimal submanifolds of Kähler-Einstein manifolds with equal Kähler angles". Pacific Journal of Mathematics 205 1 (2002): 197-235. http://www.scopus.com/inward/record.url?eid=2-s2.0-0036654139&partnerID=MN8TOARS.
  24. Salavessa, Isabel; Valli, Giorgio. "Broadly-pluriminimal submanifolds of Kähler-Einstein manifolds". Yokohama Math. J. 48 (2001), no. 2, 181–199. 48 (2001): 181-199. http://www.ams.org/mathscinet/search/publdoc.html?pg1=IID&s1=153320&vfpref=html&r=18&mx-pid=1825580.
  25. Minh Duc, D.; Salavessa, I.M.C.; Salavessa, Isabel. "On a class of graphs with prescribed mean curvature". Manuscripta Mathematica 82 1 (1994): 227-239. https://link.springer.com/article/10.1007/BF02567699.
    Published • 10.1007/BF02567699
  26. Rigoli, M.; Salavessa, I.M.C.; Salavessa, Isabel. "Willmore submanifolds of the Möbius space and a Bernstein-type theorem". Manuscripta Mathematica 81 1 (1993): 203-222. https://link.springer.com/article/10.1007/BF02567854.
    10.1007/BF02567854
  27. Ezin, J.-P.; Rigoli, M.; Salavessa, I.M.C.. "Spherical-type hypersurfaces in a Riemannian manifold". Israel Journal of Mathematics 71 2 (1990): 193-209. https://link.springer.com/article/10.1007%2FBF02811884.
    10.1007/BF02811884
  28. Salavessa, Isabel. "Graphs with Parallel Mean Curvature". Proceedings of the American Mathematical Society 107 2 (1989): 449-449. https://www.jstor.org/stable/2047835?seq=1.
    10.2307/2047835
  29. Rigoli, Marco; Salavessa, Isabel M. C.. "Conformal and isometric immersions of Riemannian manifolds". Mathematische Zeitschrift 196 2 (1987): 293-300. https://link.springer.com/article/10.1007/BF01163662.
    10.1007/bf01163662
  30. Salavessa, Isabel; Machado, Armando. "Grassmannian manifolds as subsets of Euclidean spaces". Res. Notes in Math., Pitman 131 (1985): 85-102. http://www.ams.org/mathscinet-getitem?mr=864860.
    Published • 10.48550/arXiv.2101.09731
Preprint
  1. Pedro Freitas; Jing Mao; Isabel Salavessa. "Pólya-type inequalities on spheres and hemispheres". 2022. https://arxiv.org/abs/2204.07277.
    10.48550/ARXIV.2204.07277
Activities

Supervision

Thesis Title
Role 		Degree Subject (Type)
Institution / Organization
2010/01/14 - 2012/12/10 Eigenvalue Estimation and Some Results on Finite Topological Type
Supervisor of Jing Mao
 Matemática (PhD)
Universidade de Lisboa Instituto Superior Técnico, Portugal
1995/09/01 - 1996/12/12 Curvature of Left invariant Semi-Riemannian Lie groupes
Supervisor of Rui Pedro L.P. Ribeiro de Albuquerque
 Matemática (Master)
Universidade de Lisboa Faculdade de Ciências, Portugal
1992/09/01 - 1993/07/01 Superficies Minimais
Supervisor of Ana Mafalda Vaz de Araújo
 Aplicações da Matemática (Master)
Universidade de Lisboa Faculdade de Ciências, Portugal

Jury of academic degree

Topic
Role 		Candidate name (Type of degree)
Institution / Organization
2011/10/01 Aplicações Harmónicas de Superfícies de Riemann sobre Espaços Simétricos
Thesis Member
 Nuno Miguel Ferreira Correia (PhD)
Universidade da Beira Interior, Portugal
2008/09/08 Geometri´a global de superficies espaciales en espacios producto lorentzianos, TESIS DOCTORAL
Thesis Member
 Alma Luisa Albujer Brotons (PhD)
Universidad de Murcia, Spain

Other jury / evaluation

Activity description Institution / Organization
2022/09/06 - 2022/09/06 member of jury of Project in Mathematics, Licenciatura em Matemática Applicada e Computação of student: José Cunha no. 90298, "On the determinant of the Laplacian on the n-spheres" Universidade de Lisboa Instituto Superior Técnico Departamento de Matemática, Portugal
2016/07/01 - 2016/07/01 External Referee Report of Daniel de la Fuente Benito Universidad de Granada, Spain
Distinctions

Award

1991 Bolsa de Pós Doutoramento
1987 Bolsa de Doutoramento
Fundação Calouste Gulbenkian, Portugal
1986 Bolsa de Doutoramento
Fundação Calouste Gulbenkian, Portugal