Heinz mean curvature estimates in warped product spaces $$M\times _{e^{\psi }}N$$M×eψN
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DOI: 10.1007/s10455-017-9577-x
Abstract: If a graph submanifold (x, f(x)) of a Riemannian warped product space $$(M^m\times _{e^{\psi }}N^n,\tilde{g}=g+ e^{2\psi }h)$$(Mm×eψNn,g~=g+e2ψh) is immersed with parallel mean curvature H, then we obtain a Heinz-type estimation of the mean curvature. Namely, on… read more here.
Keywords: warped product; psi; mean curvature; times psi ... See more keywords
Geometry of warped product immersions of Kenmotsu space forms and its applications to slant immersions
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DOI: 10.1016/j.geomphys.2016.12.001
Abstract: Abstract In this paper, some relations among the second fundamental form which is an extrinsic invariant, Laplacian of the warping function and constant sectional curvature of a warped product semi-slant submanifold of a Kenmotsu space… read more here.
Keywords: warped product; kenmotsu space; geometry; form ... See more keywords
Stable currents and homology groups in a compact CR-warped product submanifold with negative constant sectional curvature
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DOI: 10.1016/j.geomphys.2019.103566
Abstract: Abstract The main purpose of this paper is to highlight some striking features of the relationship between homology groups and compact warped product submanifolds geometry with negative constant sectional curvature that follows from Lawson and… read more here.
Keywords: warped product; homology groups; product submanifold; compact warped ... See more keywords
Geometry of warped product pointwise semi-slant submanifolds of cosymplectic manifolds and its applications
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DOI: 10.1142/s0219887817500426
Abstract: It is known from [K. Yano and M. Kon, Structures on Manifolds (World Scientific, 1984)] that the integration of the Laplacian of a smooth function defined on a compact orientable Riemannian manifold without boundary vanishes… read more here.
Keywords: semi slant; warped product; geometry; product pointwise ... See more keywords
On the topology of CR-warped product submanifolds
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DOI: 10.1142/s0219887818500329
Abstract: We obtain a necessary condition for homology group to be zero on CR-warped product submanifold in Euclidean spaces in terms of second fundamental form of the submanifold and warping function. By using this condition, we… read more here.
Keywords: warped product; topology; topology warped; product submanifolds ... See more keywords
Contact CR-warped product submanifolds of generalized Sasakian space forms admitting Ricci soliton
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DOI: 10.1142/s0219887820500097
Abstract: The objective of this paper is to study contact CR-warped product submanifolds admitting Ricci soliton in the setting of generalized Sasakian space forms with a nearly trans-Sasakian structure. Mor... read more here.
Keywords: contact warped; admitting ricci; warped product; product submanifolds ... See more keywords
A Study of Doubly Warped Product Immersions in a Nearly Trans-Sasakian Manifold with Slant Factor
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DOI: 10.1155/2021/5065333
Abstract: In this article, we discuss the de Rham cohomology class for bislant submanifolds in nearly trans-Sasakian manifolds. Moreover, we give a classification of warped product bislant submanifolds in nearly trans-Sasakian manifolds with some nontrivial examples… read more here.
Keywords: warped product; bislant submanifolds; doubly warped; trans sasakian ... See more keywords
Warped product submanifolds of Kaehler manifolds with pointwise slant fiber
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DOI: 10.2298/fil1801035u
Abstract: It was shown in [15, 16] that there does not exist any warped product submanifold of a Kaehler manifold such that the spherical manifold of the warped product is proper slant. In this paper, we… read more here.
Keywords: pointwise slant; warped product; product submanifolds; product ... See more keywords
On warped product semi-slant submanifolds of nearly Trans-Sasakian manifolds
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DOI: 10.2298/fil1817845a
Abstract: In this paper, we study warped product semi-slant submanifold of type M = NT × f Nθ with slant fiber, isometrically immersed in a nearly Trans-Sasakian manifold by finding necessary and sufficient conditions in terms… read more here.
Keywords: semi slant; warped product; product semi; trans sasakian ... See more keywords
A note on warped product almost quasi-Yamabe solitons
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DOI: 10.2298/fil1907009b
Abstract: We consider almost quasi-Yamabe solitons in Riemannian manifolds, derive a Bochner-type formula in the gradient case and prove that under certain assumptions, the manifold is of constant scalar curvature. We also provide necessary and sufficient… read more here.
Keywords: note warped; warped product; quasi yamabe; almost quasi ... See more keywords
Characterization theorems on warped product semi-slant submanifolds in Kenmotsu manifolds
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DOI: 10.2298/fil1913033a
Abstract: In this paper, we deal with the study of warped product semi-slant submanifolds isometrically immersed into a Kenmotsu manifold. We prove two characterization theorems for a warped product semi-slant submanifold in Kenmotsu manifolds in terms… read more here.
Keywords: warped product; slant submanifolds; semi slant; product semi ... See more keywords