Rigidity for positively curved Alexandrov spaces with boundary
نویسندگان
چکیده
Inspired by a recent work of Grove and Petersen (Alexandrov spaces with maximal radius, 2018), where the authors studied positively curved Alexandrov largest possible boundary, namely round sphere, we study lower curvature bound 1 large boundary other than sphere. In particular, classify those radius equal to $$\pi /2$$ , intrinsic diameter their boundaries is at most .
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ژورنال
عنوان ژورنال: Geometriae Dedicata
سال: 2021
ISSN: ['0046-5755', '1572-9168']
DOI: https://doi.org/10.1007/s10711-020-00582-y