Locally Lipschitz contractibility Of Alexandrov spaces and its applications

Ayato Mitsuishi, Takao Yamaguchi

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

We prove that any finite-dimensional Alexandrov space with a lower curvature bound is locally Lipschitz contractible. As an application, we obtain a sufficient condition for solving the Plateau problem in an Alexandrov space, as considered by Mese and Zulkowski.

Original languageEnglish
Pages (from-to)393-421
Number of pages29
JournalPacific Journal of Mathematics
Volume270
Issue number2
DOIs
Publication statusPublished - 2014

Keywords

  • Alexandrov space
  • Lipschitz contractibility

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint

Dive into the research topics of 'Locally Lipschitz contractibility Of Alexandrov spaces and its applications'. Together they form a unique fingerprint.

Cite this