Tangent Cones of Lipschitz Normally Embedded Sets Are Lipschitz Normally Embedded. Appendix by Anne Pichon and Walter D. Neumann

Autor:	J. Edson Sampaio, Alexandre Fernandes
Rok vydání:	2018
Předmět:	Pure mathematics General Mathematics 010102 general mathematics Tangent cone Mathematics::Metric Geometry Tangent 0101 mathematics Lipschitz continuity 01 natural sciences Mathematics
Zdroj:	International Mathematics Research Notices. 2019:4880-4897
ISSN:	1687-0247 1073-7928
DOI:	10.1093/imrn/rnx290
Popis:	We prove that tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. We also extend to real subanalytic sets the notion of reduced tangent cone and we show that subanalytic Lipschitz normally embedded sets have reduced tangent cones. In particular, we get that Lipschitz normally embedded complex analytic sets have reduced tangent cones.
Databáze:	OpenAIRE
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