Slant submanifolds with prescribed scalar curvature into cosymplectic space form

被引：0

作者：

Gupta, Ram Shankar ^{[1
]}

Haider, S. M. Khrusheed ^{[2
]}

Sharfuddin, A. ^{[2
]}

机构：

[1] Amity Sch Engn, Dept Math, Noida 201301, India

[2] Jamia Millia Islamia, Fac Nat Sci, Dept Biosci, New Delhi 110025, India

来源：

BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS | 2006年 / 11卷 / 01期

关键词：

slant submanifolds; cosymplectic space form; prescribed scalar curvature; mean curvature;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we have proved that locally there exist infinitely many three dimensional slant submanifolds with prescribed scalar curvature into cosymplectic space form (M) over bar (5) (c) with c epsilon {-4, 4}while there does not exist flat minimal proper slant surface in (M) over bar (5) (c) with c not equal 0. In section 5, we have established an inequality between mean curvature and sectional curvature of the subamnifold and have given an example which satisfies the equality sign.

引用

页码：54 / 65

页数：12

共 50 条

[31] RICCI CURVATURE OF SUBMANIFOLDS OF AN S-SPACE FORM
Kim, Jeong-Sik
Dwivedi, Mohit Kumar
Tripathi, Mukut Mani
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (05) : 979 - 998
[32] Curvature Inequalities for Submanifolds of S-space form
Rehman, Najma Abdul
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2019, 12 (04): : 1811 - 1818
[33] A LOWER BOUND OF NORMALIZED SCALAR CURVATURE FOR BI-SLANT SUBMANIFOLDS IN GENERALIZED SASAKIAN SPACE FORMS USING CASORATI CURVATURES
Siddiqui, A. N.
Shahid, M. H.
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2018, 87 (01): : 127 - 140
[34] Warped Product Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold
Uddin, Siraj
Wong, Bernardine R.
Mustafa, A. A.
ABSTRACT AND APPLIED ANALYSIS, 2012,
[35] PRESCRIBED SCALAR CURVATURE
AUBIN, T
BULLETIN DES SCIENCES MATHEMATIQUES, 1991, 115 (02): : 125 - 131
[36] PRESCRIBED SCALAR CURVATURE
RAUZY, A
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (03): : 273 - 276
[37] Submanifolds with constant scalar curvature
Cheng, QM
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2002, 132 : 1163 - 1183
[38] Semi-slant submanifolds in a locally conformal Kaehler space form
Bonanzinga, V.
Matsumoto, K.
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2023, 52 (05): : 1206 - 1218
[39] Some Inequalities for Submanifolds in Cosymplectic Space Forms
LI Xing-xiao
数学季刊, 2005, (04) : 372 - 379
[40] Warped product submanifolds of a generalized Sasakian space form admitting nearly cosymplectic structure
Ishan, Amira A.
Khan, Meraj Ali
Italian Journal of Pure and Applied Mathematics, 2020, 44 : 134 - 149

← 1 2 3 4 5 →