Abstract
The purpose of this paper is to study the pointwise pseudo-slant warped product submanifolds of a Kähler manifold \(\widetilde{M}\). We derive the conditions of integrability and totally geodesic foliation for the distributions allied to the characterization of a pointwise pseudo-slant submanifolds of \(\widetilde{M}\). The necessary and sufficient conditions for isometrically immersed pointwise pseudo-slant submanifolds of \(\widetilde{M}\) to be a pointwise pseudo-slant warped product and a locally Riemannian product are obtained. Further, we classify pointwise pseudo-slant warped product submanifolds of \(\widetilde{M}\) by developing the sharp inequalities in terms of second fundamental form and wrapping function.
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S. K. Srivastava: partially supported through the UGC-BSR Start-Up-Grant vide their Letter No. F.30-29/2014(BSR). A. Sharma: supported by the Central University of Himachal Pradesh through the research fellowship for Ph.D.
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Srivastava, S.K., Sharma, A. Pointwise Pseudo-slant Warped Product Submanifolds in a Kähler Manifold. Mediterr. J. Math. 14, 20 (2017). https://doi.org/10.1007/s00009-016-0832-3
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DOI: https://doi.org/10.1007/s00009-016-0832-3