WILLMORE TOTALLY REAL SUBMANIFOLDS OF COMPLEX SPACE FORMS (M)over-tilden+P(4c)

被引：0

作者：

Shu, Shichang ^{[1
]}

Han, Tao ^{[2
]}

机构：

[1] Xianyang Normal Univ, Sch Math & Informat Sci, Xianyang 712000, Shaanxi, Peoples R China

[2] Xian Univ Technol, Sch Sci, Dept Appl Math, Xian 710048, Shaanxi, Peoples R China

来源：

UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS | 2021年 / 83卷 / 01期

关键词：

Willmore totally real submanifolds; complex space forms; totally umbilical; totally geodesic;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let M be an n-dimensional compact Willmore totally real submanifold of complex space forms (M ) over tilde (n+P)(4c),(p > 0). In this paper, we obtain some integral inequalities of Simons' type and characterization theorems of n-dimensional compact Willmore totally real submanifolds of (M ) over tilde (n+P)(4c), which are connected with the squared norm of the second fundamental form and the mean curvature as well as the sectional curvature and Ricci curvature of M.

引用

页码：145 / 156

页数：12

共 13 条

[1] [Anonymous], 1976, Tohoku Math. J., DOI DOI 10.2748/TMJ/1178240835
[2] TOTALLY REAL SUBMANIFOLDS
CHEN, BY
OGIUE, K
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 193 (JUN) : 257 - 266
[3] Chen BY., 1974, B UNIONE MAT ITAL, V4, P380
[4] Submanifolds with constant scalar curvature
Cheng, QM
[J]. PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2002, 132 : 1163 - 1183
[5] HYPERSURFACES WITH CONSTANT SCALAR CURVATURE
CHENG, SY
YAU, ST
[J]. MATHEMATISCHE ANNALEN, 1977, 225 (03) : 195 - 204
[6] Chern S.S., 1970, FUNCTIONAL ANAL RELA, P59, DOI [DOI 10.1007/978-3-642-25588-5_5, 10.1007/978-3-642-48272-4_2]
[7] Hu Z, 2004, PROCEEDINGS OF THE WORKSHOP ON CONTEMPORARY GEOMETRY AND RELATED TOPICS, P251
[8] LI AM, 1992, ARCH MATH, V58, P582
[9] A basic inequality and new characterization of Whitney spheres in a complex space form
Li, HZ
Vrancken, L
[J]. ISRAEL JOURNAL OF MATHEMATICS, 2005, 146 (1) : 223 - 242
[10] Li HZ, 2002, MATH RES LETT, V9, P771

← 1 2 →