“Berger-Kazdan Comparison Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Berger-Kazdan Comparison Theorem

释义

Berger-Kazdan Comparison Theorem

Let be a compact -D Manifold with Injectivity radius . Then

with equality Iff

is Isometric to the standard round Sphere

with Radius

, where

is the Volume of the standard

-Hypersphere of Radius

See also Blaschke Conjecture, Hypersphere, Injective, Isometry

References

Chavel, I. Riemannian Geometry: A Modern Introduction. New York: Cambridge University Press, 1994.

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