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zbMATH Open
Article . 2018
Data sources: zbMATH Open
Publicationes Mathematicae Debrecen
Article . 2018 . Peer-reviewed
Data sources: Crossref
https://dx.doi.org/10.48550/ar...
Article . 2017
License: arXiv Non-Exclusive Distribution
Data sources: Datacite
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Warped product pointwise bi-slant submanifolds of Kaehler manifolds

Authors: Chen, Bang-Yen; Uddin, Siraj;

Warped product pointwise bi-slant submanifolds of Kaehler manifolds

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].

14 pages, to appear in Publ. Math. Debrecen

Related Organizations
Keywords

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Mathematics - Differential Geometry, Differential Geometry (math.DG), slant submanifold, pointwise bi-slant, General geometric structures on manifolds (almost complex, almost product structures, etc.), FOS: Mathematics, pointwise slant, 53C40, warped product, Kähler manifold

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
39
Top 10%
Top 10%
Top 10%
Green
bronze