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

页码：449 / 463

页数：15

共 41 条

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