LEGENDRIAN NORMALLY FLAT SUBMANIFOLS OF S-SPACE FORMS.

LEGENDRIAN NORMALLY FLAT SUBMANIFOLS OF S-SPACE FORMS In the present study, we consider a Legendrian normally flat submanifold M of (2n + s)-dimensional S-space form e M2n+s(c) of constant j-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 Mis Ricci generalized pseudo-parallel, then either it isminimal or L = 1 n−1 , when c 6= −3s. [ABSTRACT FROM AUTHOR]