Qualitative theory of differential equations and singularity theory
Classifying spaces and tensor products for manifolds with $\R$-actions
| Full text | |
| Author(s): |
Costa, Andre
;
Grandjean, Vincent
;
Michalska, Maria
Total Authors: 3
|
| Document type: | Journal article |
| Source: | DOCUMENTA MATHEMATICA; v. 29, p. 26-pg., 2024-01-01. |
| Abstract | |
We prove that a connected globally conic singular sub-manifold of a Riemannian manifold, compact when the ambient manifold is non-Euclidean, is Lipschitz Normally Embedded: its outer and inner metric space structures are equivalent. Moreover, we show that generic K-analytic germs as well as generic affine algebraic sets in K", where K = C or R, are globally conic singular sub-manifolds. Consequently, a generic K-analytic germ or a generic algebraic subset of K" is Lipschitz Normally Embedded. (AU) | |
| FAPESP's process: | 19/21181-0 - New frontiers in Singularity Theory |
| Grantee: | Regilene Delazari dos Santos Oliveira |
| Support Opportunities: | Research Projects - Thematic Grants |