OPTIMIZATIONS ON STATISTICAL HYPERSURFACES WITH CASORATI CURVATURES

被引：5
|
作者：
Siddiqui, Aliya Naaz [1 ]
Shahid, Mohammad Hasan [1 ]
机构：
[1] Jamia Millia Islamia, Fac Nat Sci, Dept Math, New Delhi 110025, India
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2021年 / 45卷 / 03期
关键词：
delta-Casorati curvatures; holomorphic statistical manifold; statistical hypersurfaces; normalized scalar curvature; dual connections; SLANT SUBMANIFOLDS; INEQUALITIES; MANIFOLDS;
D O I：
10.46793/KgJMat2103.449S
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the present paper, we study Casorati curvatures for statistical hypersurfaces. We show that the normalized scalar curvature for any real hypersurface (i.e., statistical hypersurface) of a holomorphic statistical manifold of constant holomorphic sectional curvature k is bounded above by the generalized normalized delta-Casorati curvatures and also consider the equality case of the inequality. Some immediate applications are discussed.
引用
收藏
页码：449 / 463
页数：15
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