Results 51 to 60 of about 5,193,136 (315)
On quasi-Einstein warped products
Annals of the Alexandru Ioan Cuza University - Mathematics, 2012 We study quasi-Einstein warped product manifolds for arbitrary dimen- sion n 3. Mathematics Subject Classication 2010: 53C25.
Sular, Sibel, Özgür, Cihan
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Killing tensors and warped product [PDF]
Annales Polonici Mathematici, 2000 By a Killing tensor one understands a \((1,1)\)-tensor field \(S\) on a Riemannian manifold \((M,g)\) satisfying the conditions \(\langle SX,Y \rangle =\langle X,S Y\rangle\) and \(\langle\nabla S(X,X),X \rangle=0\), for all \(X\) on \(M\). Considering the eigenvalues and the eigendistributions of \(S\), the author gets close relations between certain ...
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Warped f-product Finsler Metrics
Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, 2023 This paper shows the existence of some Ricci-flat warped f-Product Finsler metrics. We investigate the general structure of this newly defined warped f-Product Finsler metrics, indeed we identify the metric form, spray coefficients of geodesics of the metric, and also the Ricci curvature in regards to the α_1 and α_2 Riemanian metrics.
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Sequential Warped Products: Curvature and Killing Vector Fields
, 2019 In this note, we introduce a new type of warped products called as sequential warped products to cover a wider variety of exact solutions to Einstein's equation. First, we study the geometry of sequential warped products and obtain covariant derivatives,
De, Uday Chand +2 more
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Remarks on metallic warped product manifolds [PDF]
, 2018 We characterize the metallic structure on the product of two metallic manifolds in terms of metallic maps and provide a necessary and sufficient condition for the warped product of two locally metallic Riemannian manifolds to be locally metallic.
Blaga, Adara M., Hretcanu, Cristina E.
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Null Homology Groups and Stable Currents in Warped Product Submanifolds of Euclidean Spaces
Symmetry, 2021 In this paper, we prove that, for compact warped product submanifolds Mn in an Euclidean space En+k, there are no stable p-currents, homology groups are vanishing, and M3 is homotopic to the Euclidean sphere S3 under various extrinsic restrictions ...
Yanlin Li +3 more
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Differential Geometry and its Applications, 2001 The author studies the completeness of Lorentzian doubly warped products with metrics of the form \(-f^2 dt^2\oplus b^2g_F\) for positive functions \(f\) on a Riemannian manifold \(F\), \(b\) on an interval \((c,d)\).
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An intrinsic characterization of 2+2 warped spacetimes
, 2010 We give several equivalent conditions that characterize the 2+2 warped spacetimes: imposing the existence of a Killing-Yano tensor $A$ subject to complementary algebraic restrictions; in terms of the projector $v$ (or of the canonical 2-form $U ...
Bianchi L +22 more
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Einstein Doubly Warped Product Poisson Manifolds
SymmetryIn this paper, we study Einstein doubly warped product Poisson manifolds. First, we provide necessary and sufficient conditions for a doubly warped product manifold (M=Bf×bF,g,Π), equipped with a Poisson structure Π to be a contravariant Einstein ...
F. Aloui, Ibrahim Aldayel
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