The k-nullity of Riemannian manifolds and their splitting tensors
Ponente: Felippe Soares Guimaräes
Institución: Math. Department at KU Leuven, Belgium.
Tipo de Evento: Investigación
Institución: Math. Department at KU Leuven, Belgium.
Tipo de Evento: Investigación
| Cuándo |
30/08/2023 de 12:00 a 13:00 |
|---|---|
| Dónde | Vía ZOOM: https://cuaieed-unam.zoom.us/j/7414769560 |
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We consider Riemannian n-manifolds M with nontrivial k-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 k (k in R) is nontrivial. We obtain classification theorems under different 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. This is a joint work with Claudio Gorodski.
