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A Note on pinching sphere theorem by Yuliang Wen is a Mathematics article available to read on EtoBox.

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Let M 2n be a 2n-dimensional compact, simply connected Riemannian manifold without boundary and S 2n be the unit sphere of 2n + 1 dimension Euclidean space R 2n+1 . We prove in this note that if the sectional curvature K M varies in (0, 1] and the volume V (M) is not larger than ( 3 2 + η)V (S 2n ) for some positive number η depending only on n, then M 2n is homeomorphic to S 2n .

Who reads A Note on pinching sphere theorem?

Author

Yuliang Wen

Publisher

Elsevier Science; Elsevier ; Elsevier Masson; Elsevier BV; Cellule MathDoc/CEDRAM (ISSN 1631-073X)

Published

2004

Language

FR

Field

Mathematics (Physical Sciences)