Topics in Geometric Analysis in Riemannian Manifolds

• Grant number: 12/22490-7
• Support Opportunities: Scholarships in Brazil - Post-Doctoral
• Start date: May 01, 2013
• End date: August 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paolo Piccione
• Grantee: Sandra Carolina García Martínez
• Host 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

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)

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, JUN 2015. (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, FEB 2014. (12/22490-7)

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, APR 2016. (12/22490-7, 12/11950-7)