HYPERSURFACES OF RANDERS SPACES WITH POSITIVE RICCI CURVATURE

被引：0
|
作者：
LI, J. I. N. T. A. N. G. [1 ]
LUO, M. I. A. O. [2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
[2] Guizhou Normal Univ, Sch Math Sci, Guizhou 550025, Peoples R China
来源：
COLLOQUIUM MATHEMATICUM | 2022年
基金：
中国国家自然科学基金;
关键词：
constant mean curvature; general Ricci curvature; hypersurfaces; Randers space;
D O I：
10.4064/cm8535-4-2022
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (Mn+1 , F) be a Randers space with constant flag curvature K = 1. We consider compact hypersurfaces (Mn , F) of (Mn+1 , F) with constant mean curvature |H|. We prove that if the general Ricci curvature of M is greater than or equal to n - 2 , then M is either a Randers space with constant flag curvature R =1+ |H|2 or a Riemannian manifold isometric to Sm(root r) x Sn-m(root 1 - r2).
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页码：85 / 97
页数：13
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