The purpose of this paper is to provide the complete classifications of the second fundamental form inequality for a warped product pointwise semi-slant submanifold in a Kaehler manifold which was obtained by Sahin [Th. 5.2, Warped product pointwise semi-slant submanifold of Kaehler manifold, Port. Math. 2013] in terms of intrinsic and extrinsic invariants. In this paper, we give some conditions that are not addressed or considered in the cited paper mentioned above. Finally, we provide necessary and sufficient conditions that satisfy inequalities' equalities.
机构:
Univ Seoul, Div Gen Math, Room 4-107,Changgong Hall, Seoul 02504, South KoreaUniv Seoul, Div Gen Math, Room 4-107,Changgong Hall, Seoul 02504, South Korea