The paper presents a simple proof of a theorem by Q-M. Cheng on compact locally conformally flat Riemannian manifolds and shows that a complete connected oriented hypersurface in Sn+1 with nonnegative Weyl tensor and Ricci curvature is isometric to space form or a Riemannian product Sn-1xS1.
oai:arar.sci.am:112623
ՀՀ ԳԱԱ Հիմնարար գիտական գրադարան
May 27, 2021
Apr 2, 2020
4
https://arar.sci.am/publication/123965
Հրատարակության անուն | Ամսաթիվ |
---|---|
Complete hypersurfaces in Sn+1 with nonnegative weyl tensor: Non-symmetric roots in the unit disc | May 27, 2021 |
E. P. Serrano M. I. Troparevsky M. A. Fabio
Shushanik A. Sargsyan Edita G. Gzoyan
H. V. Astsatryan V. G. Sahakyan Yu. H. Shoukourian
Seda N. Manukian
Edita E. Gichunts
Hayrapetyan, Feliks