Results 11 to 20 of about 7,482 (208)

On Ricci solitons of cohomogeneity one [PDF]

Annals of Global Analysis and Geometry, 2008
We analyse some properties of the cohomogeneity one Ricci soliton equations, and use Ansatze of cohomogeneity one type to produce new explicit examples of complete Kahler Ricci solitons of expanding, steady and shrinking types. These solitons are foliated by hypersurfaces which are circle bundles over a product of Fano Kahler-Einstein manifolds or over
Andrew Dancer, McKenzie Y. Wang
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Some New Characterizations of Trivial Ricci–Bourguignon Solitons

Journal of Mathematics
A Ricci–Bourguignon soliton is a self-similar solution to the Ricci–Bourguignon flow equation, and a Ricci–Bourguignon soliton is called trivial if its potential field is zero or killing.
Hana Al-Sodais, Nasser Bin Turki, Sharief Deshmukh, Bang-Yen Chen, Hemangi Madhusudan Shah   +4 more
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Degeneration of Shrinking Ricci Solitons [PDF]

International Mathematics Research Notices, 2010
Let $(Y,d)$ be a Gromov-Hausdorff limit of closed shrinking Ricci solitons with uniformly upper bounded diameter and lower bounded volume. We prove that off a closed subset of codimension at least 2, $Y$ is a smooth manifold satisfying a shrinking Ricci soliton equation.
Zuo‐Feng Zhang
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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.
Ovidiu Munteanu, Mu‐Tao Wang
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Geometric Classifications of Perfect Fluid Space-Time Admit Conformal Ricci-Bourguignon Solitons

Journal of Mathematics
This paper is dedicated to the study of the geometric composition of a perfect fluid space-time with a conformal Ricci-Bourguignon soliton, which is the extended version of the soliton to the Ricci-Bourguignon flow.
Noura Alhouiti, Soumendu Roy, Santu Dey, Fatemah Mofarreh, Akram Ali, Yanlin Li   +5 more
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Ricci-Bourguignon Solitons With Certain Applications to Relativity

Journal of Mathematics
This article concerns with the investigation of Ricci-Bourguignon solitons and gradient Ricci-Bourguignon solitons in perfect fluid space-times and generalised Robertson–Walker space-times.
Krishnendu De, Mohammad Nazrul Islam Khan, Uday Chand De, Yanlin Li   +3 more
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A note on Kähler-Ricci soliton [PDF]

International Mathematics Research Notices, 2008
A lemma added; an error ...
Xiuxiong Chen, Song Sun, Gang Tian
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On Moduli Spaces of Ricci Solitons [PDF]

The Journal of Geometric Analysis, 2013
18 ...
Fabio Podestà, Andrea Spiro
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Expanding Ricci solitons with pinched Ricci curvature

Kodai Mathematical Journal, 2010
In this paper, we prove that expanding gradient Ricci solitons with (positively) pinched Ricci curvature are trivial ones. Namely, they are either compact or flat.
Li Ma
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Lorentzian Para-Kenmotsu Manifolds Within the Framework of ∗-Conformal η-Ricci Soliton

Journal of Applied Mathematics
The present article intends to study the ∗-conformal η-Ricci soliton on n-LPK (n-dimensional Lorentzian para-Kenmotsu) manifolds with curvature constraints.
Shyam Kishor, Arun Kumar Bhardwaj, Naveen Mani, Rahul Shukla   +3 more
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