Dependence of best Riemannian constants in spaces of metrics
Geometric analysis and variational problems in Riemannian and Kähler geometry
Special invariant metrics on Lie groups and their compact quotients
| Grant number: | 12/09925-4 |
| Support Opportunities: | Research Grants - Visiting Researcher Grant - Brazil |
| Start date: | September 01, 2012 |
| End date: | August 31, 2013 |
| Field of knowledge: | Physical Sciences and Mathematics - Mathematics - Geometry and Topology |
| Principal Investigator: | Paolo Piccione |
| Grantee: | Paolo Piccione |
| Visiting researcher: | Levi Lopes de Lima |
| Visiting researcher institution: | Universidade Federal do Ceará (UFC). Centro de Ciências, Brazil |
| 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
We intend to determine existence, uniqueness or multiplicity, and possibly a classification, of Riemannian metric with constant, or prescribed, geometric invariant (typically, some function of the curvature). The Yamabe problem, or the k-Yamabe problem are special examples. (AU)
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