Bull. Korean Math. Soc. 2014; 51(5): 1375-1397
Printed September 30, 2014
https://doi.org/10.4134/BKMS.2014.51.5.1375
Copyright © The Korean Mathematical Society.
Hyang Sook Kim and Jin Suk Pak
Inje University, Kyungpook National University
In this paper we establish codimension reduction theorem for submanifolds of a $(4m+3)$-dimensional unit sphere $S^{4m+3}$ with Sasakian 3-structure and apply it to submanifolds of a quaternionic projective space.
Keywords: codimension reduction, unit $(4m+3)$-sphere, Sasakian $3$-structure, normal connection, quaternionic projective space, $L$-flat, mean curvature vector, totally geodesic
MSC numbers: 53C40, 53C25
2016; 53(2): 441-460
2013; 50(3): 951-962
1999; 36(2): 315-336
2003; 40(4): 613-631
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd