Dihedral Rigidity of Parabolic Polyhedrons in Hyperbolic Spaces

In this note, we establish the dihedral rigidity phenomenon for a collection of parabolic polyhedra enclosed by horospheres in hyperbolic manifolds, extending Gromov's comparison theory to metrics with negative scalar curvature lower bounds. Our result is a localization of the positive mass the...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2020
1. Verfasser: Li, Chao
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2020
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/211021
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Dihedral Rigidity of Parabolic Polyhedrons in Hyperbolic Spaces. Chao Li. SIGMA 16 (2020), 099, 8 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine