On the normal scalar curvature conjecture in Kenmotsu statistical manifolds

被引：8

作者：

Bansal, Pooja ^{[1
]}

Uddin, Siraj ^{[2
]}

Shahid, Mohammad Hasan ^{[1
]}

机构：

[1] Jamia Millia Islamia, Dept Math, New Delhi 110025, India

[2] King Abdulaziz Univ, Dept Math, Fac Sci, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2019年 / 142卷

关键词：

DDVV conjecture; Wintgen inequality; Normal scalar curvature; Statistical manifold; Kenmotsu statistical manifold; Dual connections; GENERALIZED WINTGEN INEQUALITY; SUBMANIFOLDS;

D O I：

10.1016/j.geomphys.2019.03.012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove DDVV conjecture (the generalized Wintgen inequality) for statistical submanifolds of Kenmotsu statistical manifolds of constant phi-sectional curvature. Further, we give some applications of derived inequality. (C) 2019 Elsevier B.V. All rights reserved.

引用

页码：37 / 46

页数：10

共 50 条

[41] INTEGRAL OF SCALAR CURVATURE ON MANIFOLDS WITH A POLE
Xu, Guoyi
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2024, 152 (11) : 4865 - 4872
[42] The scalar curvature flow in Lorentzian manifolds
Enz, Christian
ADVANCES IN CALCULUS OF VARIATIONS, 2008, 1 (03) : 323 - 343
[43] Arithmetic manifolds of positive scalar curvature
Block, J
Weinberger, S
JOURNAL OF DIFFERENTIAL GEOMETRY, 1999, 52 (02) : 375 - 406
[44] Lorentzian manifolds and scalar curvature invariants
Coley, Alan
Hervik, Sigbjorn
Pelavas, Nicos
CLASSICAL AND QUANTUM GRAVITY, 2010, 27 (10)
[45] COMPACT MANIFOLDS OF CONSTANT SCALAR CURVATURE
DESHMUKH, S
ALGWAIZ, MA
GEOMETRIAE DEDICATA, 1991, 40 (01) : 23 - 27
[46] CONSTRUCTION OF MANIFOLDS OF POSITIVE SCALAR CURVATURE
CARR, R
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1988, 307 (01) : 63 - 74
[47] Inequalities for the Casorati Curvature of Statistical Manifolds in Holomorphic Statistical Manifolds of Constant Holomorphic Curvature
Decu, Simona
Haesen, Stefan
Verstraelen, Leopold
MATHEMATICS, 2020, 8 (02)
[48] The Gromov-Lawson-Rosenberg conjecture: When do manifolds admit metrics of positive scalar curvature
Gilkey, PB
GEOMETRY FROM THE PACIFIC RIM, 1997, : 149 - 158
[49] A COUNTEREXAMPLE TO A CONJECTURE ABOUT POSITIVE SCALAR CURVATURE
Pape, Daniel
Schick, Thomas
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2015, 143 (07) : 3165 - 3168
[50] Besse conjecture for compact manifolds with pinched curvature
Baltazar, H.
ARCHIV DER MATHEMATIK, 2020, 115 (02) : 229 - 239

← 1 2 3 4 5 →