Rigidity for positively curved Alexandrov spaces with boundary
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DOI: 10.1007/s10711-020-00582-y
Abstract: Inspired by a recent work of Grove and Petersen (Alexandrov spaces with maximal radius, 2018), where the authors studied positively curved Alexandrov spaces with largest possible boundary, namely the round sphere, we study Alexandrov spaces… read more here.
Keywords: curved alexandrov; rigidity positively; alexandrov spaces; positively curved ... See more keywords
Obtuse constants of Alexandrov spaces
Sign Up to like & getrecommendations! Published in 2019 at "Journal of the Mathematical Society of Japan"
DOI: 10.2969/jmsj/78917891
Abstract: We introduce a new geometric invariant called the obtuse constant of spaces with curvature bounded below. We first find relations between this invariant and the normalized volume. We also discuss the case of maximal obtuse… read more here.
Keywords: alexandrov spaces; obtuse constants; constants alexandrov;