Application of the Generalized Bochner Technique to the Study of Conformally Flat Riemannian Manifolds

Application of the Generalized Bochner Technique to the Study of Conformally Flat Riemannian Manifolds

In this article, we discuss the global aspects of the geometry of locally conformally flat (complete and compact) Riemannian manifolds. In particular, the article reviews and improves some results (e.g., the conditions of compactness and degeneration into spherical or flat space forms) on the geomet...

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Bibliographic Details
Main Authors: Josef Mikeš, Vladimir Rovenski, Sergey Stepanov, Irina Tsyganok
Format: Article
Language:English
Published: MDPI AG 2021-04-01
Series:Mathematics
Subjects:
Riemannian manifold
locally conformally flat
curvature operator
scalar and Ricci curvatures
Ricci flow
Online Access:https://www.mdpi.com/2227-7390/9/9/927

Internet

https://www.mdpi.com/2227-7390/9/9/927

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