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 …
-Invariants, Inequalities of Submanifolds and Their Applications
BY Chen - arXiv preprint arXiv:1307.1877, 2013 - arxiv.org
The famous Nash embedding theorem was aimed for in the hope that if Riemannian
manifolds could be regarded as Riemannian submanifolds, this would then yield the …
manifolds could be regarded as Riemannian submanifolds, this would then yield the …
[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 …
B.-Y. Chen's inequality for bi-warped products and its applications in Kenmotsu manifolds
In this paper, we establish a sharp inequality for the squared norm of the second
fundamental form of bi-warped product submanifolds of Kenmotsu manifolds. The equality …
fundamental form of bi-warped product submanifolds of Kenmotsu manifolds. The equality …
[PDF][PDF] Warped product CR-submanifolds in locally conformal Kaehler manifolds
V Bonanzinga, K Matsumoto - Periodica Mathematica Hungarica, 2004 - academia.edu
Recently, BY Chen introduced the notion of warped product CR-submanifolds and CR-
warped products of Kaehler manifolds, that is, a warped product Riemannian submanifold of …
warped products of Kaehler manifolds, that is, a warped product Riemannian submanifold of …
Almost contact metric structures on the hypersurface of almost Hermitian manifolds
MB Banaru, VF Kirichenko - Journal of Mathematical Sciences, 2015 - Springer
In the modern studies on differential geometry, a great importance is attached to the theory
of almost contact metric structures. The reasons for this lie in numerous applications of the …
of almost contact metric structures. The reasons for this lie in numerous applications of the …
Warped product semi-slant submanifolds in locally Riemannian product manifolds
M Atceken - Bulletin of the Australian Mathematical Society, 2008 - cambridge.org
In this paper, we prove that there are no warped product proper semi-slant submanifolds
such that the spheric submanifold of a warped product is a proper slant. But we show by …
such that the spheric submanifold of a warped product is a proper slant. But we show by …
[PDF][PDF] A general inequality for doubly warped product submanifolds
A Olteanu - Mathematical Journal of Okayama University, 2010 - ousar.lib.okayama-u.ac.jp
Mathematical Journal of Okayama University Page 1 Mathematical Journal of Okayama
University Volume 52, Issue 1 2010 Article 11 JANUARY 2010 A GENERAL INEQUALITY …
University Volume 52, Issue 1 2010 Article 11 JANUARY 2010 A GENERAL INEQUALITY …
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 …