Results 131 to 140 of about 174,038 (179)
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Triviality Results and Conjugate Radius Estimation of Ricci Solitons
Bulletin of the Brazilian Mathematical Society, New Series, 2023The investigation of Ricci solitons is the focus of this work. We have proved triviality results for compact gradient Ricci soliton under certain restriction. Later, a rigidity result is derived for a compact gradient shrinking Ricci soliton.
A. Shaikh, P. Mandal, V. Babu
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Unique asymptotics of steady Ricci solitons with symmetry
Journal of the European Mathematical Society (Print), 2023We study 4d gradient steady Ricci solitons which are weak \kappa -solutions and exhibit \mathrm{O}(3) -symmetry. Under a weak curvature decay condition, we find precise geometric asymptotics of such solitons, which are similar to those for ...
Zilu Ma +2 more
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Remarks on Kähler–Ricci solitons
Advances in Geometry, 2015Abstract We prove that a compact complex manifold endowed with a Kähler-Ricci soliton cannot be isometrically embedded in a complex projective space ℂℙn in such a way that the Gauss map is rational, unless the metric is Einstein. This applies to hypersurfaces of complex compact homogeneous spaces canonically embedded in ℂℙn.We moreover ...
BEDULLI, LUCIO, Gori A.
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LCS-manifolds and Ricci solitons
International Journal of Geometric Methods in Modern Physics, 2021This paper is concerned with the study of [Formula: see text]-manifolds and Ricci solitons. It is shown that in a [Formula: see text]-spacetime, the fluid has vanishing vorticity and vanishing shear. It is found that in an [Formula: see text]-manifold, [Formula: see text] is an irrotational vector field, where [Formula: see text] is a non-zero smooth ...
Absos Ali Shaikh +3 more
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O(2)-symmetry of 3D steady gradient Ricci solitons
Geometry & Topology, 2022For any 3D steady gradient Ricci soliton with positive curvature, we prove that it must be isometric to the Bryant soliton if it is asymptotic to a ray. Otherwise, it is asymptotic to a sector and hence a flying wing. We show that all 3D flying wings are
Y. Lai
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Ricci Solitons and Gradient Ricci Solitons on Nearly Cosymplectic Manifolds
2021In this paper, we study nearly Kenmotsu manifolds with a Ricci soliton and we obtain certain conditions about curvature tensors.
Yıldırım, M., Ayar, Gülhan
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Characterization of Ricci Solitons and Harmonic Vector Fields on the Lie Group Nil4
MathematicsThis study considers a left-invariant Riemannian metric g on the Lie group Nil4. We introduce a Ricci solitons’ classification on (Nil4,g). These are expansive non-gradient Ricci solitons.
Yanlin Li, A. Cherif, Yuquan Xie
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RICCI-PSEUDOSYMMETRIC (LCS)n −MANIFOLDS ADMITTING ALMOST \(\eta\)−RICCI SOLITONS
Asian journal of mathematics and computer research, 2022The objective of this paper is to study Ricci-pseudosymmetric (LCS)n −manifolds admitting almost \(\eta\)−Ricci solitons. We show that if a Ricci-pseudosymmetric (LCS)n −manifold admits \(\eta\)−Ricci soliton, then it is an \(\eta\)−Einstein and find the
M. Atc̣eken, T. Mert, Pakize Uygun
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Hyperbolic Ricci solitons on sequential warped product manifolds
FilomatWe study hyperbolic Ricci solitons on sequential warped products. The necessary conditions are obtained for a hyperbolic Ricci soliton with the structure of a sequential warped product to be an Einstein manifold when we consider the potential field as
Kay Açıkgöz, Cihan Özgür
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Almost Ricci Solitons on Finsler Spaces
Journal of Geometric AnalysisIn this paper, (gradient) almost Ricci solitons on Finsler measure spaces (M, F, m) are introduced and investigated. We prove that (M, F, m) is a gradient almost Ricci soliton with soliton scalar κ\documentclass[12pt]{minimal} \usepackage{amsmath ...
Qiaoling Xia
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