Results 121 to 130 of about 38,409 (231)

Conformally Kähler Ricci solitons and base metrics for warped product Ricci solitons [PDF]

open access: yesPacific Journal of Mathematics, 2017
We investigate K hler metrics conformal to gradient Ricci solitons, and base metrics of warped product gradient Ricci solitons. The latter we name quasi-solitons. A main assumption that is employed is functional dependence of the soliton potential, with the conformal factor in the first case, and with the warping function in the second.
openaire   +4 more sources

Ricci soliton and η-Ricci soliton on Generalized Sasakian space form

open access: yesFilomat, 2017
The aim of the present paper is to study Ricci soliton, eta-Ricci soliton and various types of curvature tensors on Generalized Sasakian space form. We have also studied conformal killing vector field, torse forming vector field on Generalized Sasakian space form.
Tamalika Dutta   +2 more
openaire   +2 more sources

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

Asymptotic estimates and compactness of expanding gradient Ricci solitons [PDF]

open access: yesarXiv, 2014
We first investigate the asymptotics of conical expanding gradient Ricci solitons by proving sharp decay rates to the asymptotic cone both in the generic and the asymptotically Ricci flat case. We then establish a compactness theorem concerning nonnegatively curved expanding gradient Ricci solitons.
arxiv  

On gradient Ricci solitons with constant scalar curvature [PDF]

open access: yesarXiv, 2014
We use the theory of isoparametric functions to investigate gradient Ricci solitons with constant scalar curvature. We show rigidity of gradient Ricci solitons with constant scalar curvature under some conditions on the Ricci tensor, which are all satisfied if the manifold is curvature homogeneous.
arxiv  

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