Advanced search
Start date

Metric deformations and applications

Grant number: 17/24680-1
Support Opportunities:Scholarships in Brazil - Doctorate
Effective date (Start): April 01, 2018
Effective date (End): December 31, 2020
Field of knowledge:Physical Sciences and Mathematics - Mathematics - Geometry and Topology
Principal Investigator:Llohann Dallagnol Sperança
Grantee:Leonardo Francisco Cavenaghi
Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
Associated research grant:16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis, AP.TEM


A procedure commonly used to construct metrics of positive or non-negative sectional curvature is the Cheeger deformation. The aim of this project is to base a generalization of this deformation, tracing its parallel with geometric analysis, in order to obtain obstruction or/and sufficient conditions for positive/nonnegative sectional curvature on principal bundles and other families of manifolds. It is also intended to study the existence of metrics with prescribed scalar curvature and Einstein metrics. (AU)

News published in Agência FAPESP Newsletter about the scholarship:
Articles published in other media outlets (0 total):
More itemsLess items

Academic Publications
(References retrieved automatically from State of São Paulo Research Institutions)
CAVENAGHI, Leonardo Francisco. On metric deformations and applications. 2020. Doctoral Thesis - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.

Please report errors in scientific publications list by writing to: