Legendrian normally flat submanifols of S-space forms

Keywords:
S-space form, Legendrian submanifold, normally flat submanifold, pseudo-parallel submanifold, Ricci generalized pseudo-parallel submanifold
Published online:
2020-06-12
Abstract
In the present study, we consider a Legendrian normally flat submanifold M of (2n+s)-dimensional S-space form ˜M2n+s(c) of constant φ-sectional curvature c. We have shown that if M is pseudo-parallel then M is semi-parallel or totally geodesic.
We also prove that if M is Ricci generalized pseudo-parallel, then either it is minimal or L=1n−1, when c≠−3s.
How to Cite
(1)
Mahi, . F.; Belkhelfa, M. Legendrian Normally Flat Submanifols of S-Space Forms. Carpathian Math. Publ. 2020, 12, 69-78.