%0 Journal Article
%T Pseudo-Parallel Legendrian Submanifolds With Flat Normal Bundle of Sasakian Space Forms
%A Xiaomin CHEN
%J -
%D 2014
%R http://dx.doi.org/10.3968/3002 http://dx.doi.org/10.3968/pdf_7
%X Let M n be a Legendrian submanifold with flat normal bundle of a Sasakian space form 2n+1(c). Further, M n is said to be pseudo-parallel if its second fundamental form h satisfies R(X, Y ) ¡¤ h = L(X ¡Ä Y ¡¤ h). In thisarticle we shall prove that M is semi-parallel or totally geodesic and if M satisfies L then it is minimal in case of n ¡Ý 2. Moreover, we showthat if M n is also a H-umbilical submanifold then either M n is L = , or n = 1.
%K Legendrian submanifold
%K Minimal submanifold
%K H-umbilical submanifold
%K Pseudo-parallel submanifold
%K Sasakian space form
%U http://cscanada.net/index.php/pam/article/view/3002