Locally Lipschitz contractibility of Alexandrov spaces and its applications

DOI10.2140/PJM.2014.270.393zbMath1306.53030arXiv1303.0655OpenAlexW3105418268MaRDI QIDQ466209

Ayato Mitsuishi, Takao Yamaguchi

Publication date: 24 October 2014

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.0655

zbMATH Keywords

Alexandrov spacePlateau problemLipschitz contractibility

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (7)

Eigenvalue estimates and differential form Laplacians on Alexandrov spaces ⋮ Sufficiently collapsed irreducible Alexandrov 3-spaces are geometric ⋮ Lipschitz 1-connectedness for Some Solvable Lie Groups ⋮ Stability of strongly Lipschitz contractible balls in Alexandrov spaces ⋮ The coincidence of the homologies of integral currents and of integral singular chains, via cosheaves ⋮ Lipschitz homotopy convergence of Alexandrov spaces ⋮ Good coverings of Alexandrov spaces

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