A characterization of totally real statistical submanifolds in quaternion Kaehler-like statistical manifolds

被引:4
|
作者
Lone, Mohamd Saleem [1 ]
Lone, Mehraj Ahmad [2 ]
Mihai, Adela [3 ,4 ]
机构
[1] Univ Kashmir, Fac Phys & Math Sci, Dept Math, Srinagar 190006, India
[2] Natl Inst Technol, Dept Math, Srinagar 190006, J&k, India
[3] Tech Univ Civil Engn Bucharest, Dept Math & Comp Sci, Bd Lacul Tei 122-124, Bucharest 020396, Romania
[4] Transilvania Univ Brasov, Interdisciplinary Doctoral Sch, Fac Math & Comp Sci, Bd Eroilor 29, Brasov 500036, Romania
关键词
Sectional curvature; Scalar curvature; Chen inequality; Statistical manifolds; Quaternion Kaehler-like statistical manifold; SLANT SUBMANIFOLDS; SHAPE OPERATOR; INEQUALITIES; CURVATURE;
D O I
10.1007/s13398-021-01200-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By obtaining the basic Chen inequalities for totally real (in particular Lagrangian) submanifolds in quaternion Kaehler-like statistical manifolds, we derive conditions for the minimality of Lagragian submanifolds.
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页数:13
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