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Gradient Solitons on Doubly Warped Product Manifolds [PDF]
Reports on Mathematical Physics, 2021 Firstly we provide new characterizations for doubly warped product manifolds. Then we consider several types of gradient solitons on them such as Riemann, Ricci, Yamabe and conformal and examine the effect of a gradient soliton on a doubly warped product to its factor manifolds.
A. Blaga, H. M. Tacstan
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SOME DOUBLY-WARPED PRODUCT GRADIENT RICCI SOLITONS
Communications of the Korean Mathematical Society, 2016 Jongsu Kim
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Conformal Metrics to a Product or Doubly Warped Product on S2×S2 and the Hopf Conjecture
Journal of Mathematics, 2022 Hopf’s well-known conjecture states that there exists no metric of positive sectional curvature in the product manifold S2×S2. In this paper, we show that the Hopf conjecture is true for conformal metrics to the product metric or doubly warped products ...
Thierno Seck, Athoumane Niang
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On doubly warped product immersions [PDF]
Journal of Geometry, 2014 In this paper we study fundamental geometric properties of doubly warped product immersion which is an extension of warped product immersion. Moreover, we study geometric inequality for doubly warped products isometrically immersed in arbitrary Riemannian manifolds.
Morteza Faghfouri, Ayyoub Majidi
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Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020 Summary: We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly. We also give a necessary and sufficient condition for a doubly warped product to be a warped or a direct product.
Sibel Gerdan Aydın, Hakan Mete Taştan
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ON RICCI-PSEUDOSYMMETRIC DOUBLY WARPED PRODUCTS [PDF]
Demonstratio Mathematica, 1996 In this paper doubly warped product manifolds that satisfy a curvature condition known as Ricci-pseudosymmetry are studied. Necessary and sufficient conditions for a doubly warped product to be Ricci-pseudosymmetric are stated. In the special case that the two factor manifolds of the doubly warped product are both Einstein manifolds, the author states ...
Marian Hotloś
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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 ...
Andersson, L.
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Semi-C-Reducible Conformally Doubly Warped Product Finsler Metric [PDF]
Pure Mathematics加 依达尔·里扎别克
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On Surfaces Properties of Doubly Warped product Manifolds hI×fB in generalized Robertson-Walker spacetimes [PDF]
Journal of Physics: Conference Series, 2021 This paper concerns the properties of submanifolds of doubly warped product space. For Riemannian manifold B and interval I, we investigate some surfaces properties of doubly warped product manifolds hI×fB, and obtain the scalar curvature for the doubly ...
LingWei Du, Jian Wang
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Curvature analysis of concircular trajectories in doubly warped product manifolds
AIMS MathematicsThe aim of this research paper was to explore the various characteristics of the doubly warped product manifold, focusing particularly on aspects such as the Hessian, Riemannian curvature, Ricci curvature, and concircular curvature tensor components.
Fahad Sikander +3 more
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