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Topics in Geometric Analysis in Riemannian Manifolds

Grant number: 12/22490-7
Support type:Scholarships in Brazil - Post-Doctorate
Effective date (Start): May 01, 2013
Effective date (End): August 31, 2014
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal researcher:Paolo Piccione
Grantee:Sandra Carolina García Martínez
Home Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:11/21362-2 - Group actions, submanifold theory and global analysis in Riemannian and pseudo-Riemannian geometry, AP.TEM

Abstract

The project describes some topics in Geometric Analysis, such as:(1) Eigenvalue Estimates and Applications(2) Height estimates for compact hypersurfaces with constant k-mean curvature in warped product spaces(3) H-surfaces in the 3-dimensional metric Lie groups

News published in Agência FAPESP Newsletter about the scholarship:
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Scientific publications
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
CAROLINA GARCIA-MARTINEZ, S.; HERRERA, JONATAN. Rigidity and Bifurcation Results for CMC Hypersurfaces in Warped Product Spaces. JOURNAL OF GEOMETRIC ANALYSIS, v. 26, n. 2, p. 1186-1201, . (12/22490-7, 12/11950-7)
GARCIA-MARTINEZ, SANDRA C.; IMPERA, DEBORA; RIGOLI, MARCO. A SHARP HEIGHT ESTIMATE FOR COMPACT HYPERSURFACES WITH CONSTANT k-MEAN CURVATURE IN WARPED PRODUCT SPACES. PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY, v. 58, n. 2, p. 403-419, . (12/22490-7)
GARCIA-MARTINEZ, SANDRA C.; IMPERA, DEBORA. Height estimates and half-space theorems for spacelike hypersurfaces in generalized Robertson-Walker spacetimes. DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, v. 32, p. 46-67, . (12/22490-7)

Please report errors in scientific publications list by writing to: cdi@fapesp.br.