Results 21 to 30 of about 387 (181)
RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON NEARLY KENMOTSU MANIFOLDS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 In this paper, we study nearly Kenmotsu manifolds with Ricci soliton and we obtain certain conditions about curvature tensors.
Ayar, Gülhan, Yıldırım, Mustafa
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The curvature of gradient Ricci solitons [PDF]
Mathematical Research Letters, 2011 We study integral and pointwise bounds on the curvature of gradient shrinking Ricci solitons. As applications we discuss gap and compactness results for gradient shrinkers.
Munteanu, Ovidiu, Wang, Mu-Tao
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$$*$$-Conformal $$\eta $$-Ricci soliton within the framework of Kenmotsu manifolds [PDF]
, 2023 The goal of our present paper is to deliberate ∗-conformal η-Ricci soliton within the framework of Kenmotsu manifolds. Here we show that a Kenmotsu metric as a ∗-conformal η-Ricci soliton is Einstein metric if the soliton vector field is contact ...
Sarkar, Sumanjit +3 more
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INEQUALITIES FOR GRADIENT EINSTEIN AND RICCI SOLITONS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2020 This short note concerns with two inequalities in the geo\-me\-try of gradient Einstein solitons $(g, f, \lambda )$ on a smooth manifold $M$. These inequalities provide some relationships between the curvature of the Riemannian metric $g$ and the behavior of the scalar field $f$ through two quadratic equations satisfied by the scalar $\lambda $.
Blaga, Adara-Monica, Crasmareanu, Mircea
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Rigidity of gradient shrinking Ricci solitons [PDF]
Asian Journal of Mathematics, 2020 26 ...
Yang, Fei, Zhang, Liangdi
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Rigidity of gradient Ricci solitons [PDF]
Pacific Journal of Mathematics, 2009 We define a gradient Ricci soliton to be rigid if it is a flat bundle $% N\times_Γ\mathbb{R}^{k}$ where $N$ is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons.
Petersen, Peter, Wylie, William
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Gradient Ricci-harmonic solitons on multiply warped products [PDF]
, 2021 In this paper, we find the necessary and sufficient conditions for a multiply warped product to be a gradient Ricci-harmonic soliton. We also investigate the necessary and sufficient conditions for a multiply generalized Robertson-Walker space-time and a
Karaca, Fatma
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On gradient Ricci solitons with symmetry [PDF]
Proceedings of the American Mathematical Society, 2009 We study gradient Ricci solitons with maximal symmetry. First we show that there are no nontrivial homogeneous gradient Ricci solitons. Thus, the most symmetry one can expect is an isometric cohomogeneity one group action. Many examples of cohomogeneity one gradient solitons have been constructed.
Petersen, Peter, Wylie, William
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Journal of Geometric Analysis, 2011 to appear in J.
Munteanu, Ovidiu, Sesum, Natasa
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On Type-I singularities in Ricci flow [PDF]
, 2011 07.02.13 KB. Accepted version ok to add to Spiral. IP/Sherpa.We define several notions of singular set for Type I Ricci flows and show that they all coincide.
Topping, Peter +5 more
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