A splitting theorem for infinite dimensional Alexandrov spaces with nonnegative curvature and its applications

Ayato Mitsuishi

研究成果: Article査読

8 被引用数 (Scopus)

抄録

We prove a splitting theorem for Alexandrov space of nonnegative curvature without properness assumption. As a corollary, we obtain a maximal radius theorem for Alexandrov spaces of curvature bounded from below by 1 without properness assumption. Also, we provide new examples of infinite dimensional Alexandrov spaces of nonnegative curvature.

本文言語English
ページ(範囲)101-114
ページ数14
ジャーナルGeometriae Dedicata
144
1
DOI
出版ステータスPublished - 2010 1

ASJC Scopus subject areas

  • Geometry and Topology

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