Pythagorean Theorem & Curvature with Lower or Upper Bound
Xiaole Su , Hongwei Sun , Yusheng Wang
Chinese Annals of Mathematics, Series B ›› 2022, Vol. 43 ›› Issue (1) : 95 -114.
Pythagorean Theorem & Curvature with Lower or Upper Bound
In this paper, the authors give a comparison version of Pythagorean theorem to judge the lower or upper bound of the curvature of Alexandrov spaces (including Riemannian manifolds).
Pythagorean theorem / Alexandrov space / Toponogov’s theorem
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