Legendrian normally flat submanifols of -space forms

Keywords:
-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 of -dimensional -space form of constant -sectional curvature . We have shown that if is pseudo-parallel then is semi-parallel or totally geodesic.
We also prove that if is Ricci generalized pseudo-parallel, then either it is minimal or , when .
How to Cite
(1)
Mahi, . F.; Belkhelfa, M. Legendrian Normally Flat Submanifols of -Space Forms. Carpathian Math. Publ. 2020, 12, 69-78.