Local characterization of polyhedral spaces

DOI10.1007/S10711-015-0072-XzbMath1333.52018arXiv1402.6670OpenAlexW1978945218MaRDI QIDQ897071

Anton Petrunin, Nina Lebedeva

Publication date: 16 December 2015

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.6670

zbMATH Keywords

polyhedral spaceconic neighbourhoodsmetric simplicial complexes

Mathematics Subject Classification ID

Polyhedral manifolds (52B70) Combinatorial aspects of simplicial complexes (05E45)

Related Items (4)

Polyhedral approximation of metric surfaces and applications to uniformization ⋮ On continuous billiard and quasigeodesic flows characterizing alcoves and isosceles tetrahedra ⋮ Alexandrov spaces with maximal number of extremal points ⋮ Coercivity, essential norms, and the Galerkin method for second-kind integral equations on polyhedral and Lipschitz domains

Cites Work

• Number of extremal subsets in Alexandrov spaces and rigidity
• The topology of four-dimensional manifolds
• Alexandrov spaces with maximal number of extremal points
• Piecewise distance preserving maps
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