Global Lipschitz geometry of conic singular sub-manifolds with applications to algebraic sets

Autor(es)

Costa, Andre ; Grandjean, Vincent ; Michalska, Maria

• Tipo de documento: Artigo Científico
• Fonte: DOCUMENTA MATHEMATICA; v. 29, p. 26-pg., 2024-01-01.

Resumo

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)

• Processo FAPESP: 19/21181-0 - Novas fronteiras na Teoria de Singularidades
• Beneficiário: Regilene Delazari dos Santos Oliveira
• Modalidade de apoio: Auxílio à Pesquisa - Temático