SOME SHARP INEQUALITIES ON REAL HYPERSURFACES OF SOME QUADRICS

被引：0
|
作者：
Siddiqui, Aliya Naaz [1 ]
Park, Kwang Soon [2 ]
机构：
[1] Maharishi Markandeshwar Deemed Univ, Dept Math, Mullana 133207, Ambala Haryana, India
[2] Univ Seoul, Div Gen Math, Room 4-107,Changgong Hall, Seoul 02504, South Korea
来源：
UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2021年 / 83卷 / 02期
关键词：
complex hyperbolic quadrics; complex quadrics; Ricci curvature; Casorati curvatures; quasi-umbilical; integral formula;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The objective of this paper is two-fold: Firstly, we establish some optimal inequalities involving the normalized scalar curvature and generalized normalized delta-Casorati curvatures for real hypersurfaces in the complex hyperbolic quadrics Q(q)* (and the complex quadrics Q(q)). Secondly, we study a notion of the Ricci tensor derived from a curvature of real hypersurfaces in Q(q)* (and Q(q)). Then we classify real hypersurfaces with isometric Reeb flow in Q(q)* (and Q(q)) by using an integral formula related to the Ricci curvature. Also, we give a complete proof of non-existence of real hypersurfaces in Q(q)* (and Q(q)).
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页码：151 / 164
页数：14
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