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2018/92/1-2 (11) — DOI: 10.5486/PMD.2018.7882 — pp. 183-199

Warped product pointwise bi-slant submanifolds of Kaehler manifolds

Authors: Bang-Yen Chen and Siraj Uddin

Abstract:

Warped product manifolds have been studied for a long period of time. In contrast, the study of warped product submanifolds from extrinsic point of view was initiated by the first author around the beginning of this century in [7], [8]. Since then, the study of warped product submanifolds has been investigated by many geometers.
The notion of slant submanifolds of almost Hermitian manifolds was introduced in [5]. Bi-slant submanifolds in almost contact metric manifolds were defined in [4] by J. L. Cabrerizo et al. In [26], we studied bi-slant submanifolds and warped product bi-slant submanifolds in Kaehler manifolds. In this article, we investigate warped product pointwise bi-slant submanifolds of Kaehler manifolds. Our main results extend several important results on warped product slant submanifolds obtained in [7], [21]—[23], [27].

Keywords: slant submanifold, pointwise slant, pointwise bi-slant, warped product, Kaehler manifold

Mathematics Subject Classification: 53C40, 53C42, 53C15