On the differentiable sphere theorem for manifolds with Ricci curvatures bounded from above

In the present paper, we prove that if is an -dimensional compact Riemannian manifold and if where , and are the sectional and Ricci curvatures of respectively, then is diffeomorphic to a spherical space form where is a finite group of isometries acting freely. In particular, if is simply...

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發表在:	Дифференциальная геометрия многообразий фигур
Main Authors:	S. E. Stepanov, I. I. Tsyganok
格式:	Article
語言:	英语
出版:	Immanuel Kant Baltic Federal University 2024-01-01
主題:	riemannian manifold sectional curvature ricci curvatu­re sphere theorem spherical space form
在線閱讀:	https://journals.kantiana.ru/geometry/15698/79876/