Pythagorean Theorem & Curvature with Lower or Upper Bound
Copyright policy )Pythagorean Theorem & Curvature with Lower or Upper Bound
In this paper, we give a comparison version of Pythagorean Theorem to judge the lower or upper bound of the curvature of Alexandrov spaces (including Riemannian manifolds).
16pages
- Beijing Normal University China (People's Republic of)
- Capital Normal University China (People's Republic of)
Alexandrov space, metric spaces, Alexandrov's curvature, Mathematics - Metric Geometry, Toponogov's theorem, FOS: Mathematics, Metric Geometry (math.MG), 53C20, Global surface theory (convex surfaces à la A. D. Aleksandrov), Global Riemannian geometry, including pinching, geodesic, Pythagorean theorem
Alexandrov space, metric spaces, Alexandrov's curvature, Mathematics - Metric Geometry, Toponogov's theorem, FOS: Mathematics, Metric Geometry (math.MG), 53C20, Global surface theory (convex surfaces à la A. D. Aleksandrov), Global Riemannian geometry, including pinching, geodesic, Pythagorean theorem
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).2 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!