Results 11 to 20 of about 39,041 (325)
Warped Poisson brackets on warped products [PDF]
Journal of Geometric Mechanics, 2014 In this paper, we generalize the geometry of the product pseudo-Riemannian manifold equipped with the product Poisson structure (\cite{Nas2}) to the geometry of a warped product of pseudo-Riemannian manifolds equipped with a warped Poisson structure. We construct three bivector fields on a product manifold and show that each of them lead under certain ...
Amrane, Yacine Aït +2 more
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Curvature of multiply warped products [PDF]
Journal of Geometry and Physics, 2005 28 pages, corrected typos, to appear in Journal of Geometry and ...
Dobarro, Fernando, Ünal, Bülent
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Geometry of warped product semi-slant submanifolds of Kenmotsu manifolds
Bulletin of Mathematical Sciences, 2017 In this paper, we study semi-slant submanifolds and their warped products in Kenmotsu manifolds. The existence of such warped products in Kenmotsu manifolds is shown by an example and a characterization.
Siraj Uddin
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Singularity theorems for warped products and the stability of spatial extra dimensions
Journal of High Energy Physics, 2019 New singularity theorems are derived for generic warped-product spacetimes of any dimension. The main purpose is to analyze the stability of (compact or large) extra dimensions against dynamical perturbations.
Nastassja Cipriani +1 more
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WARPED PRODUCTS IN RIEMANNIAN MANIFOLDS [PDF]
Bulletin of the Australian Mathematical Society, 2014 AbstractIn this paper we prove two inequalities relating the warping function to various curvature terms, for warped products isometrically immersed in Riemannian manifolds. This extends work by B. Y. Chen [‘On isometric minimal immersions from warped products into real space forms’, Proc. Edinb. Math. Soc.
Park, Kwang-Soon
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DOUBLY WARPED PRODUCTS IN S-SPACE FORMS [PDF]
Romanian Journal of Mathematics and Computer Science, 2014 Recently, the author established a general inequality for doubly warped products in arbitrary Riemannian manifolds [14]. In the present paper, we obtain a similar inequality for doubly warped products isometrically immersed in S-space forms.
Andreea Olteanu
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The geometry of warped product singularities [PDF]
International Journal of Geometric Methods in Modern Physics, 2017 In this article, the degenerate warped products of singular semi-Riemannian manifolds are studied. They were used recently by the author to handle singularities occurring in General Relativity, in black holes and at the big-bang. One main result presented here is that a degenerate warped product of semi-regular semi-Riemannian manifolds with the ...
Beem J. K. +8 more
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A remark on Einstein warped products [PDF]
Pacific Journal of Mathematics, 2011 We prove triviality results for Einstein warped products with non-compact bases. These extend previous work by D.-S. Kim and Y.-H. Kim. The proof, from the viewpoint of "quasi-Einstein manifolds" introduced by J. Case, Y.-S. Shu and G. Wei, rely on maximum principles at infinity and Liouville-type theorems.
Besse +4 more
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Asian Journal of Mathematics, 2015 In this paper we study the space of solutions to an overdetermined linear system involving the Hessian of functions. We show that if the solution space has dimension greater than one, then the underlying manifold has a very rigid warped product structure.
He, Chenxu +2 more
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Super warped products with a semi-symmetric non-metric connection
AIMS Mathematics, 2022 In this paper, we define a semi-symmetric non-metric connection on super Riemannian manifolds. And we compute the curvature tensor and the Ricci tensor of a semi-symmetric non-metric connection on super warped product spaces. Next, we introduce two kinds
Tong Wu, Yong Wang
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