Results 61 to 70 of about 5,140,777 (272)
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.
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Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds
Journal of Mathematics, 2022 In this paper, we study the twisted product manifolds with gradient Ricci–Yamabe solitons. Then, we classify and characterize the warped product and twisted product spaces with gradient Ricci–Yamabe solitons.
Byung Hak Kim +3 more
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Sequential Warped Products and Their Applications
International Electronic Journal of Geometry, 2021 In this paper, we study the sequential warped product manifolds, which are the natural generalizations of singly warped products. Many spacetime models that characterize the universe and the solutions of Einstein's field equations are known to have this new structure.
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Isometric immersions of warped products [PDF]
Proceedings of the American Mathematical Society, 2012 We provide conditions under which an isometric immersion of a (warped) product of manifolds into a space form must be a (warped) product of isometric immersions.
Theodoros Vlachos, Marcos Dajczer
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Ricci-flat Finsler metrics by warped product [PDF]
Proceedings of the American Mathematical Society, 2020 In this work, we consider a class of Finsler metrics using the warped product notion introduced by Chen et al. [Internat. J. Math. 29 (2018), 1850081], with another “warping”, one that is consistent with static spacetimes.
Patricia Marcal, Z. Shen
semanticscholar +1 more source
Higgs production in a warped extra dimension [PDF]
Journal of High Energy Physics, 2012 Abstract Measurements of the Higgs-boson production cross section at the LHC are an important tool for studying electroweak symmetry breaking at the quantum level, since the main production mechanism gg → h is loop-suppressed in the Standard Model (SM).
Ulrich Haisch +5 more
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Classification of Einstein equations with cosmological constant in warped product space-time [PDF]
Int. J. Geom. Methods Mod. Phys, Vol. 15 (2018) 1850041, 2018 We classify all warped product space-times in three categories as i) generalized twisted product structures, ii) base conformal warped product structures and iii) generalized static space-times and then we obtain the Einstein equations with the corresponding cosmological constant by which we can determine uniquely the warp functions in these warped ...
arxiv +1 more source
Mathematics, 2019 The purpose of this article is to obtain geometric conditions in terms of gradient Ricci curvature, both necessary and sufficient, for a warped product semi-slant in a Kenmotsu space form, to be either CR-warped product or simply a Riemannian product ...
Ali H. Alkhaldi, Akram Ali
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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.
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Chen-Ricci inequality for biwarped product submanifolds in complex space forms
AIMS Mathematics, 2021 The main objective of this paper is to achieve the Chen-Ricci inequality for biwarped product submanifolds isometrically immersed in a complex space form in the expressions of the squared norm of mean curvature vector and warping functions.The equality ...
Amira A. Ishan, Meraj Ali Khan
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