Bulletin of the
Korean Mathematical Society
BKMS
Article
ALL ARTICLES
View
Bull. Korean Math. Soc. 2005; 42(1): 189-201
Printed March 1, 2005
Copyright © The Korean Mathematical Society.
Shape operator $A_{H}$ for slant submanifolds in generalized complex space forms
Dong-Soo Kim, Young Ho Kim, and Chul Woo Lee
Chonnam National University, Kyungpook National University, Kyungpook National University
In this article, we establish relations between the sectional curvature function $K$ and the shape operator, and also relationship between the $k$-Ricci curvature and the shape operator for slant submanifolds in generalized complex space forms with arbitrary codimension.
Keywords: shape operator, scalar curvature, squared mean curvature, $k$-Ricci curvature, generalized complex space form, complex space form, real space form, slant submanifold, invariant and anti-invariant submanifold
MSC numbers: 53B25, 53C55
Article Tools
Stats or Metrics
Share this article on :
Related articles in BKMS
-
B.-Y. Chen inequalities for submanifolds in generalized complex space forms
2003; 40(3): 411-423
-
Shape operator of slant submanifolds in Sasakian space forms
2003; 40(1): 63-76
-
Ricci curvature of submanifolds of an $\mathcal{S}$-space form
2009; 46(5): 979-998
-
A new characterization of type $(A)$ and ruled real hypersurfaces in nonflat complex space forms
2022; 59(4): 897-904
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd