Results 61 to 70 of about 2,959 (165)
The Impact of Quasi-Conformal Curvature Tensor on Warped Product Manifolds
AxiomsThis work investigates the effects on the factor manifolds of a singly warped product manifold resulting from the presence of a quasi-conformally flat, quasi-conformally symmetric, or divergence-free quasi-conformal curvature tensor.
Bang-Yen Chen +4 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper, by supposing a natural comparison inequality on the positive r-th mean curvatures of the hypersurface, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces immersed in a semi-Riemannian warped product of constant
Wang Yaning, Liu Ximin
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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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CONFORMAL DEFORMATIONS ON WARPED PRODUCT MANIFOLDS
Communications of the Korean Mathematical Society, 2003 Summary: When \(N\) is a compact Riemannian manifold, using warped products, we discuss the conformal deformation of a warped product metric on \( M = [a, \infty ) \times_f N\) with specific warping functions.
Jung, Yoon-Tae +2 more
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Journal of Geometry and Physics, 2007 The author assumes a product manifold \(M= E\times F\) to be equipped with a warped product metric. Therefrom arises by adding a mixed 2-form such that \(E\), \(F\) are no longer orthogonal an oblique warped product metric. The author discusses the existence of such a structure and gives examples: generalized Robertson-Walker space-times and more ...
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AxiomsWe investigate Ricci–Bourguignon solitons on mixed doubly sequential warped product manifolds. Necessary and sufficient conditions for the existence of such solitons are established, and their implications for Einstein manifolds are analyzed.
Ayman Elsharkawy +3 more
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, 2011 This is a survey on the geometry of warped products, without, or essentially with only soft, calculation. Somewhere in the paper, the goal was to give a synthetic account since existing approaches are rather analytic. Somewhere else, we have interpreted statements, especially by means of a physical terminology.
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Trivial Homology Groups of Warped Product Semi-Slant Submanifolds in Kenmotsu Space Forms
AxiomsThis paper investigates the relationship between homology groups and warped product semi-slant submanifolds in Kenmotsu space forms. Some rigidity theorems for vanishing homology groups on warped product semi-slant submanifolds are obtained using the ...
Noura M. Alhouiti +4 more
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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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Stability of Doubly Warped Product Spacetimes [PDF]
, 2009 Nonlinear stability for a class of doubly warped spacetimes is proved. The background spacetimes have negative Einstein factors. It shown that for dimension D≥11 there is a full parameter family of solutions to the vacuum Einstein equations which has Kasner-like singularity and Friedmann like asympotics in the future.
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