Results 31 to 40 of about 205,228 (147)
ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS [PDF]
Communications in Contemporary Mathematics, 2011 In this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature. We then generalize this integral identity to complete noncompact gradient shrinking Ricci solitons, under the conditions that the Ricci curvature is bounded from below and the ...
Cao, Xiaodong, Wang, Biao, Zhang, Zhou
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Conformally Flat Siklos Metrics Are Ricci Solitons [PDF]
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.
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Conformally Kähler Ricci solitons and base metrics for warped product Ricci solitons [PDF]
Pacific Journal of Mathematics, 2017 typo corrected in Theorem 7 ...
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Locally Conformally Flat Lorentzian Gradient Ricci Solitons [PDF]
Journal of Geometric Analysis, 2011 It is shown that locally conformally flat Lorentzian gradient Ricci solitons are locally isometric to a Robertson-Walker warped product, if the gradient of the potential function is non null, and to a plane wave, if the gradient of the potential function is null. The latter gradient Ricci solitons are necessarily steady.
Brozos-Vázquez, M. +2 more
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Geometrical Structure in a Perfect Fluid Spacetime with Conformal Ricci–Yamabe Soliton
, 2022 The present paper aims to deliberate the geometric composition of a perfect fluid spacetime with torse-forming vector field ξ in connection with conformal Ricci–Yamabe metric and conformal η-Ricci–Yamabe metric.
Soumendu Roy +4 more
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On locally conformally flat gradient steady Ricci solitons [PDF]
Transactions of the American Mathematical Society, 2012 16 pages; final version, to appear in Trans. Amer.
Cao, Huai-Dong, Chen, Qiang
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Characteristics of Sasakian Manifolds Admitting Almost ∗-Ricci Solitons
Fractal and Fractional, 2023 This article presents some results of a geometric classification of Sasakian manifolds (SM) that admit an almost ∗-Ricci soliton (RS) structure (g,ω,X). First, we show that a complete SM equipped with an almost ∗-RS with ω≠ const is a unit sphere.
Vladimir Rovenski, Dhriti Sundar Patra
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Kenmotsu metric as conformal $η$-Ricci soliton
, 2021 The object of the present paper is to characterize the class of Kenmotsu manifolds which admits conformal $η$-Ricci soliton. Here, we have investigated the nature of the conformal $η$-Ricci soliton within the framework of Kenmotsu manifolds. It is shown that an $η$-Einstein Kenmotsu manifold admitting conformal $η$-Ricci soliton is an Einstein one ...
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Conformal Ricci soliton in para-Sasakian manifolds
Novi Sad Journal of Mathematics, 2021 Summary: The object of the present paper is to study \(M\)-projective curvature tensor, pseudo projective curvature tensor, Ricci curvature tensor in para-Sasakian manifold admitting conformal Ricci soliton. We have studied \(M\)-projective semi symmetric para-Sasakian manifolds admitting a conformal Ricci soliton.
Kishor, Shyam, Verma, Pushpendra
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CONFORMAL SIGMA MODELS WITH ANOMALOUS DIMENSIONS AND RICCI SOLITONS [PDF]
Modern Physics Letters A, 2005 We present new non-Ricci-flat Kähler metrics with U(N) and O(N) isometries as target manifolds of superconformally invariant sigma models with an anomalous dimension. They are so-called Ricci solitons, special solutions to a Ricci-flow equation. These metrics explicitly contain the anomalous dimension and reduce to Ricci-flat Kähler metrics on the ...
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