Results 81 to 90 of about 802,509 (175)
Gradient estimate of a Poisson equation under the almost Ricci solitons
Boundary Value Problems, 2022 In this paper, we consider an n-dimensional manifold M n $M^{n}$ endowed with an almost Bakry–Émery Ricci curvature and study a special case of gradient estimate for the positive solutions of Δ u − X . u = f $\Delta u-X.u=f$ , for a smooth function f and
Sakineh Hajiaghasi, Shahroud Azami
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Killing and 2-Killing Vector Fields on Doubly Warped Products
Mathematics, 2023 We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
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Uniqueness of gradient Ricci solitons [PDF]
Mathematical Research Letters, 2011 We show that a three-dimensional steady gradient Ricci soliton which is asymptotic to the Bryant soliton in a suitable sense must be isometric to the Bryant soliton.
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the complete lift of para‐Sasakian structures to the tangent bundle equipped with the Schouten–van Kampen connection (SVKC). By analyzing curvature tensors and soliton equations, we establish the existence of Ricci, Yamabe, and η‐Ricci solitons in the lifted setting.
Lalnunenga Colney +3 more
wiley +1 more source
Modified Ricci flow on a principal bundle [PDF]
, 2008 textLet M be a Riemannian manifold with metric g, and let P be a principal G-bundle over M having connection one-form a. One can define a modified version of the Ricci flow on P by fixing the size of the fiber.
Young, Andrea Nicole, 1979-
core
Bach-flat gradient steady Ricci solitons
, 2014 In this paper we prove that any n-dimensional (n ≥ 4) complete Bach-flat gradient steady Ricci soliton with positive Ricci curvature is isometric to the Bryant soliton.
LORENZO MAZZIERI +12 more
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Ricci solitons on almost Kenmotsu 3-manifolds
Open Mathematics, 2017 Let (M3, g) be an almost Kenmotsu 3-manifold such that the Reeb vector field is an eigenvector field of the Ricci operator. In this paper, we prove that if g represents a Ricci soliton whose potential vector field is orthogonal to the Reeb vector field ...
Wang Yaning
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Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the optimization of soliton structures on tangent bundles of statistical Kenmotsu manifolds through lifting theory. By constructing lifted statistical Kenmotsu structures using semisymmetric metric and nonmetric connections, we derive explicit expressions for the curvature tensor, Ricci operator, and scalar curvature. We analyze
Mohammad Nazrul Islam Khan +3 more
wiley +1 more source
Gradient Ricci-Yamabe solitons on warped product manifolds [PDF]
, 2023 We give the necessary and sufficient conditions for a gradient Ricci-Yamabe soliton with warped product metric. As physical applications, we consider gradient Ricci-Yamabe solitons on generalized Robertson-Walker space-times and standard static space ...
Karaca, Fatma
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On volume growth of gradient steady Ricci solitons [PDF]
Pacific Journal of Mathematics, 2013 8 ...
Wei, Guofang, Wu, Peng
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