Results 91 to 100 of about 5,140,777 (272)
Warped product Quasi Bi-slant Submanifolds of Kaehler Manifolds [PDF]
arXiv, 2023 In this paper, we introduce the notion of warped product quasi bi-slant submanifolds in Kaehler manifolds. We have shown that every warped product quasi bi-slant submanifold in a Kaehler manifold is either a Riemannian product or a warped product quasi hemi slant submanifold. Furthermore, we provide examples for both cases.
arxiv
On the classification of warped product Einstein metrics [PDF]
Communications in Analysis and Geometry, 2012 In this paper we take the perspective introduced by Case-Shu-Wei of studying warped product Einstein metrics through the equation for the Ricci curvature of the base space. They call this equation on the base the $m$-Quasi Einstein equation, but we will also call it the $( ,n+m)$-Einstein equation.
He, Chenxu +2 more
openaire +3 more sources
Affine connections on singular multiply warped products and singular twisted products [PDF]
arXiv, 2022 In this paper, we generalize the results in [Y. Wang: Affine connections on singular warped products. Int. J. Geom. Methods Mod. Phys. 18(5), 2150076, (2021).] to singular multiply warped products and singular twisted products. We study singular multiply warped products and singular twisted products and their curvature with the semi-symmetric metric ...
arxiv
Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold
, 2014 We introduce warped product skew semi-invariant submanifolds of order $1$ of a locally product Riemannian manifold. We give a necessary and sufficient condition for skew semi-invariant submanifold of order 1 to be a locally warped product.
Taştan, Hakan Mete
core +1 more source
Introduction to gradient h-almost η-Ricci soliton warped product
Boletim da Sociedade Paranaense de MatemáticaIn this paper, we introduce the new concept of gradient h-almost η-Ricci soliton. We discuss here a steady or expanding gradient h-almost η-Ricci soliton warped product Bn ×f Fm, m > 1. We show that the warping function f of this warped product attains
Nandan Bhunia +3 more
doaj +1 more source
A family of multiply warped product semi-Riemannian Einstein metrics
The Journal of Geometric Mechanics, 2020 In this paper, we characterize multiply warped product semi -Riemannian manifolds when the base is conformal to an \begin{document}$ n $\end{document} -dimensional pseudo-Euclidean space.
B. Pal, Pankaj Kumar
semanticscholar +1 more source
Sharp Growth Estimates for Warping Functions in Multiply Warped Product Manifolds [PDF]
Journal of Geometry and Symmetry in Physics, 2019 By applying an average method in PDE, we obtain a dichotomy between "constancy" and "infinity" of the warping functions on complete noncompact Riemannian manifolds for an appropriate isometric immersion of a multiply warped product manifold $N_1\times_{f_2} N_2 \times \cdots \times _{f_k} N_k\, $ into a Riemannian manifold.
Chen, Bang-Yen, Wei, Shihshu Walter
openaire +3 more sources
Generalized inequalities on warped product submanifolds in nearly trans-Sasakian manifolds
, 2014 In this paper, we study warped product submanifolds of nearly trans-Sasakian manifolds. The non-existence of the warped product semi-slant submanifolds of the type $N_\theta\times{_{f}N_T}$ is shown, whereas some characterization and new geometric ...
Mustafa, Abdulqader +2 more
core +1 more source
A warped product splitting theorem
Duke Mathematical Journal, 1992 The celebrated Cheeger-Gromoll splitting theorem (see [ChGr], and also [EsHe, Wu]) implies that a connected, complete Riemannian manifold having nonnegative Ricci curvature and two ends is isometric to a Riemannian product, where one factor is a line.
Croke, Christopher B., Kleiner, Bruce
openaire +3 more sources
Curvature Estimates for Submanifolds in Warped Products [PDF]
Results in Mathematics, 2011 We give estimates on the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case of submanifolds of the total space of a Riemannian submersion.
J. F. Montenegro +3 more
openaire +3 more sources