Results 101 to 110 of about 167,116 (196)

The Soliton-Ricci Flow with variable volume forms

open access: yesComplex Manifolds, 2016
We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
doaj   +1 more source

The Ricci soliton equation and the structure of homogeneous Gödel-type spacetimes

open access: yesJournal of Mathematical Analysis and Applications, 2018
We completely determine the solutions to the Ricci soliton equation among homogeneous Godel-type metrics. Investigating the properties of these solutions, we also obtain some new insights on the structure of these spacetimes.
G. Calvaruso
semanticscholar   +1 more source

Remarks on the Warped Product Structure from the Hessian of a Function

open access: yesMathematics, 2018
The warped product structure of a gradient Yamabe soliton and a Ricci soliton with a concircular potential field is proved in another way.
Jong Ryul Kim
doaj   +1 more source

Uniqueness of Kähler-Ricci solitons

open access: yesActa Mathematica, 2000
Let \(X\) be a holomorphic vector field on a compact Kähler manifold \((M,\omega)\). Then \(\omega\) is a Kähler-Ricci soliton with respect to \(X\) if \(\text{Ric} (\omega)-\omega=L_X\omega\) where \(\text{Ric} (\omega)\) is the Ricci form and \(L_X\) is the Lie derivative with respect to \(X\).
Tian, Gang, Zhu, Xiaohua
openaire   +2 more sources

Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons [PDF]

open access: yesInternational Journal of Mathematical, Engineering and Management Sciences
We explore the properties of almost Ricci solitons and the gradient Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure. We consider almost Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure when ...
Sudhakar Kumar Chaubey   +3 more
doaj   +1 more source

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