Results 51 to 60 of about 2,959 (165)
Characterization of GCR-lightlike warped product of indefinite Sasakian manifolds
Arab Journal of Mathematical Sciences, 2014 In this paper we prove that there do not exist warped product GCR-lightlike submanifolds in the form M = N⊥ × λNT such that N⊥ is an anti-invariant submanifold tangent to V and NT an invariant submanifold of M‾, other than GCR-lightlike product in an ...
Rakesh Kumar +3 more
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Warped Product Pseudo-Slant Submanifolds of a Nearly Cosymplectic Manifold
Abstract and Applied Analysis, 2012 We study warped product pseudo-slant submanifolds of a nearly cosymplectic manifold. We obtain some characterization results on the existence or nonexistence of warped product pseudo-slant submanifolds of a nearly cosymplectic manifold in terms of the ...
Siraj Uddin +2 more
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A CLASS OF FOUR-DIMENSIONAL WARPED PRODUCTS [PDF]
Demonstratio Mathematica, 2002 The authors investigate properties of 4-dimensional warped product manifolds satisfying a particular set of curvature conditions. As an application, it is obtained a generalization of a pseudosymmetric property for Ricci-flat warped product spacetimes which was established previously in some special cases, including the Schwarzschild metric.
Filip Defever +4 more
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Advances in Difference Equations, 2021 In the present paper, we find some characterization theorems. Under certain pinching conditions on the warping function satisfying some differential equation, we show that the base of warped product submanifolds of a Sasakian space form M ˜ 2 m + 1 ( ϵ )
Akram Ali +3 more
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Homology Groups in Warped Product Submanifolds in Hyperbolic Spaces
Journal of Mathematics, 2021 In this paper, we show that if the Laplacian and gradient of the warping function of a compact warped product submanifold Ωp+q in the hyperbolic space ℍm−1 satisfy various extrinsic restrictions, then Ωp+q has no stable integral currents, and its ...
Yanlin Li +3 more
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THE EXISTENCE OF WARPING FUNCTIONS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS
Journal of the Chungcheong Mathematical Society, 2013 In this paper, when N is a compact Riemannian manifold of class (C), we consider the nonexistence of some warping functions on Riemannian warped product manifolds with prescribed scalar curvatures.
Yoon-Tae Jung +4 more
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Levi-Civita Ricci-Flat Doubly Warped Product Hermitian Manifolds
Advances in Mathematical Physics, 2022 Let M1,g and M2,h be two Hermitian manifolds. The doubly warped product (abbreviated as DWP) Hermitian manifold of M1,g and M2,h is the product manifold M1×M2 endowed with the warped product Hermitian metric G=f22g+f12h, where f1 and f2 are positive ...
Qihui Ni +3 more
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GEOMETRIC FLOWS ON WARPED PRODUCT MANIFOLD [PDF]
Taiwanese Journal of Mathematics, 2013 We derive one unified formula for Ricci curvature tensor on arbitrary warped product manifold by introducing a new notation for the lift vector and the Levi-Civita connection.This formula is helpful to further consider Ricci flow (RF) and hyperbolic geometric flow (HGF) and evolution equations on warped product manifold. We characterize the behavior of
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MathematicsIn this paper, we investigate contact skew CR-warped product submanifolds of locally conformal almost cosymplectic manifolds, a framework that simultaneously generalizes warped product pseudo-slant, semi-slant, and contact CR-submanifolds.
Ali H. Alkhaldi +3 more
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Pointwise hemi-slant warped product submanifolds in nearly Kaehler manifolds
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria MatematicaIn this paper, we introduce the notion of pointwise hemi-slant sub-manifolds of nearly Kaehler manifolds. Further, we study their warped products and prove the necessary and sufficient condition that a point-wise hemi-slant submanifold to be a warped ...
Alqahtani Lamia Saeed +2 more
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