Special invariant metrics on Lie groups and their compact quotients
Aspects of the conformal and Riemannian geometry of Lie groups and their compact q...
Topics in Lorentzian and Finsler Geometry: geodesic flow and isometry group
| Full text | |
| Author(s): |
Gorodski, Claudio
;
Guimaraes, Felippe
Total Authors: 2
|
| Document type: | Journal article |
| Source: | Annali di Matematica Pura ed Applicata; v. 202, n. 6, p. 23-pg., 2023-05-18. |
| Abstract | |
We consider Riemannian n-manifolds M with nontrivial kappa-nullity "distribution" of the curvature tensor R, namely, the variable rank distribution of tangent subspaces to M where R coincides with the curvature tensor of a space of constant curvature kappa (kappa is an element of R) is nontrivial. We obtain classification theorems under diferent additional assumptions, in terms of low nullity/conullity, controlled scalar curvature or existence of quotients of finite volume. We prove new results, but also revisit previous ones. (AU) | |
| FAPESP's process: | 16/23746-6 - Algebraic, topological and analytical techniques in differential geometry and geometric analysis |
| Grantee: | Paolo Piccione |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 19/19494-0 - Virtual immersions, isometric immersions of product manifolds and conformal genuine rigidity |
| Grantee: | Felippe Soares Guimarães |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |