Results 1 to 10 of about 174,038 (179)
Journal of Geometric Analysis, 2011 In the first part of the paper we derive integral curvature estimates for complete gradient shrinking Ricci solitons. Our results and the recent work of Lopez-Rio imply rigidity of gradient shrinking Ricci solitons with harmonic Weyl tensor.
Ovidiu Munteanu, Nataša Sesum
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LP-Kenmotsu Manifolds Admitting η-Ricci Solitons and Spacetime
Journal of Mathematics, 2022 In the present paper, LP-Kenmotsu manifolds admitting η-Ricci solitons have been studied. Moreover, some results for η-Ricci solitons in LP-Kenmotsu manifolds in the spacetime of general relativity have also been proved.
Yanlin Li, Abdul Haseeb, Musavvir Ali
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Results of Hyperbolic Ricci Solitons
Symmetry, 2023 We obtain some properties of a hyperbolic Ricci soliton with certain types of potential vector fields, and we point out some conditions when it reduces to a trivial Ricci soliton.
A. Blaga, Cihan Özgür
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Rigidity of gradient Ricci Solitons [PDF]
Pacific Journal of Mathematics, 2007 We define a gradient Ricci soliton to be rigid if it is a flat bundle $% N\times_{\Gamma}\mathbb{R}^{k}$ where $N$ is Einstein. It is known that not all gradient solitons are rigid.
Petersen, Peter, Wylie, William
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Ricci solitons - The equation point of view [PDF]
manuscripta mathematica, 2008 We discuss some classification results for Ricci solitons, that is, self similar solutions of the Ricci Flow. Some simple proofs of known results will be presented. In detail, we will take the equation point of view, trying to avoid the tools provided by
Eminenti, Manolo +2 more
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Conformally Flat Siklos Metrics Are Ricci Solitons
Axioms, 2020 We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.
Giovanni Calvaruso
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Characterizations of Trivial Ricci Solitons
Advances in Mathematical Physics, 2020 Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton.
Sharief Deshmukh +2 more
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A Note on Ricci Solitons [PDF]
Symmetry, 2020 In this paper, we characterize trivial Ricci solitons. We observe the important role of the energy function f of a Ricci soliton (half the squared length of the potential vector field) in the charectrization of trivial Ricci solitons. We find three characterizations of connected trivial Ricci solitons by imposing different restrictions on the energy ...
Sharief Deshmukh, Hana Alsodais
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h-Almost Ricci–Yamabe Solitons in Paracontact Geometry
Mathematics, 2022 In this article, we classify h-almost Ricci–Yamabe solitons in paracontact geometry. In particular, we characterize para-Kenmotsu manifolds satisfying h-almost Ricci–Yamabe solitons and 3-dimensional para-Kenmotsu manifolds obeying h-almost gradient ...
Uday Chand De +2 more
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Mathematics, 2023 This paper mainly devotes to the study of some solitons such as Ricci and Yamabe solitons and also their combination called Ricci-Yamabe solitons.
Vandana +3 more
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