Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 27, No. 2, pp. 325-338 (2011)

Warped Product submanifold in generalized Sasakian space form

Fereshteh Malek and Vahid Nejadakbary

K.N. Toosi University of Technology

Abstract: In 2002, K. Matsumoto and I. Mihai established sharp inequalities for some warped product submanifolds in Sasakian space forms. A. Olteanu, established one of these inequalities for Legendrian warped product submanifolds in generalized Sasakian space forms. In present paper, we generalize another inequalities for warped product submanifolds in generalized Sasakian space forms with contact structure.

Keywords: warped product, Laplacian, mean curvature, Legendrian submanifold, generalized Sasakian space form

Classification (MSC2000): 53C40; 53C25

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