GEOMETRY OF WARPED PRODUCT SUBMANIFOLDS: A SURVEY.
B Chen - Journal of Advanced Mathematical Studies, 2013 - search.ebscohost.com
The warped product N< sub> 1×< sub> f N< sub> 2 of two Riemannian manifolds (N< sub>
1, g< sub> 1) and (N< sub> 2, g< sub> 2) is the product manifold N< sub> 1× N< sub> 2 …
1, g< sub> 1) and (N< sub> 2, g< sub> 2) is the product manifold N< sub> 1× N< sub> 2 …
A survey on geometry of warped product submanifolds
BY Chen - arXiv preprint arXiv:1307.0236, 2013 - arxiv.org
The warped product $ N_1\times_f N_2 $ of two Riemannian manifolds $(N_1, g_1) $ and
$(N_2, g_2) $ is the product manifold $ N_1\times N_2 $ equipped with the warped product …
$(N_2, g_2) $ is the product manifold $ N_1\times N_2 $ equipped with the warped product …
[HTML][HTML] Geometry of warped product immersions of Kenmotsu space forms and its applications to slant immersions
A Ali, P Laurian-Ioan - Journal of Geometry and Physics, 2017 - Elsevier
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 …
invariant, Laplacian of the warping function and constant sectional curvature of a warped …
Geometry of warped product pointwise semi-slant submanifolds of cosymplectic manifolds and its applications
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 …
the integration of the Laplacian of a smooth function defined on a compact orientable …
Geometry of warped product pointwise semi-slant submanifolds of Kaehler manifolds
In this paper, we study warped product pointwise semi-slant submanifolds of a Kaehler
manifold. First, we prove some characterizations results in terms of the tensor fields T and F …
manifold. First, we prove some characterizations results in terms of the tensor fields T and F …
A geometric inequality for warped product semi-slant submanifolds of nearly cosymplectic manifolds
Recently, we have shown that there do not exist the warped product semi-slant
submanifolds of cosymplectic manifolds [10]. As nearly cosymplectic structure generalizes …
submanifolds of cosymplectic manifolds [10]. As nearly cosymplectic structure generalizes …
Geometric inequalities for warped products in Riemannian manifolds
Warped products are the most natural and fruitful generalization of Riemannian products.
Such products play very important roles in differential geometry and in general relativity …
Such products play very important roles in differential geometry and in general relativity …
Semi-invariant warped product submanifolds of cosymplectic manifolds
In this article, we obtain the necessary and sufficient conditions that the semi-invariant
submanifold to be a locally warped product submanifold of invariant and anti-invariant …
submanifold to be a locally warped product submanifold of invariant and anti-invariant …
Geometry of warped product pseudo-slant submanifolds of Kenmotsu manifolds
In this paper, we study pseudo-slant submanifolds and their warped products in Kenmotsu
manifolds. We obtain the necessary conditions that a pseudoslant submanifold is locally a …
manifolds. We obtain the necessary conditions that a pseudoslant submanifold is locally a …
Ricci curvature of contact CR-warped product submanifolds in generalized Sasakian space forms admitting a trans-Sasakian structure
The objective of this paper is to achieve the inequality for Ricci curvature of a contact CR-
warped product submanifold isometrically immersed in a generalized Sasakian space form …
warped product submanifold isometrically immersed in a generalized Sasakian space form …