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A sphere theorem for 2-dimensional CAT(1)-spaces.

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Publication:1858332
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DOI10.2140/pjm.2002.206.401zbMath1054.53064OpenAlexW2033471699MaRDI QIDQ1858332

Koichi Nagano

Publication date: 13 February 2003

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

Full work available at URL: https://doi.org/10.2140/pjm.2002.206.401


zbMATH Keywords

Hausdorff measurevolume comparisonsphere theoremCAT(\(\kappa\))-spaces


Mathematics Subject Classification ID

Rigidity results (53C24) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23)


Related Items

Topological regularity of spaces with an upper curvature bound ⋮ Extremal subsets in geodesically complete spaces with curvature bounded above ⋮ Volume pinching theorems for CAT(1) spaces ⋮ Asymptotic topological regularity of \(\mathrm{CAT}(0)\) spaces



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