Results 31 to 40 of about 387 (181)
Stability of gradient Kähler-Ricci solitons [PDF]
Communications in Analysis and Geometry, 2005 We study stability of non-compact gradient Kaehler-Ricci flow solitons with positive holomorphic bisectional curvature. Our main result is that any compactly supported perturbation and appropriately decaying perturbations of the Kaehler potential of the soliton will converge to the original soliton under Kaehler-Ricci flow as time tends to infinity. To
Chau, Albert, Schnuerer, Oliver C.
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Geometric classifications of k-almost Ricci solitons admitting paracontact metrices
Open Mathematics, 2023 The prime objective of the approach is to give geometric classifications of kk-almost Ricci solitons associated with paracontact manifolds. Let M2n+1(φ,ξ,η,g){M}^{2n+1}\left(\varphi ,\xi ,\eta ,g) be a paracontact metric manifold, and if a KK-paracontact
Li Yanlin +4 more
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The Weyl tensor of gradient Ricci solitons [PDF]
Geometry & Topology, 2016 This paper derives new identities for the Weyl tensor on a gradient Ricci soliton, particularly in dimension four. First, we prove a Bochner-Weitzenböck type formula for the norm of the self-dual Weyl tensor and discuss its applications, including connections between geometry and topology.
Cao, Xiaodong, Tran, Hung
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Rigidity of Complete Gradient Shrinkers with Pointwise Pinching Riemannian Curvature
Advances in Mathematical Physics, 2021 Let Mn,g,f be a complete gradient shrinking Ricci soliton of dimension n≥3. In this paper, we study the rigidity of Mn,g,f with pointwise pinching curvature and obtain some rigidity results.
Yawei Chu, Dehe Li, Jundong Zhou
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On the completeness of gradient Ricci solitons [PDF]
Proceedings of the American Mathematical Society, 2009 A gradient Ricci soliton is a triple ( M , g , f
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Isometry theorem of gradient Shrinking Ricci solitons [PDF]
Journal of Geometry and Physics, 2021 In this paper, we have proved that if a complete conformally flat gradient shrinking Ricci soliton has linear volume growth or the scalar curvature is finitely integrable and also the reciprocal of the potential function is subharmonic, then the manifold is isometric to the Euclidean sphere.
Shaikh, Absos Ali, Mondal, Chandan Kumar
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Almost Ricci soliton in $Q^{m^{\ast}}$ [PDF]
AUT Journal of Mathematics and ComputingIn this paper, we will focus our attention on the structure of $h$-almost Ricci solitons on complex hyperbolic quadric. We will prove non-existence a contact real hypersurface in the complex hyperbolic quadric $Q^{m^*}, m\geq 3$, admitting the gradient ...
Hamed Faraji, Shahroud Azami
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Gradient Kähler–Ricci solitons and periodic orbits [PDF]
Communications in Analysis and Geometry, 2000 We study Hamiltonian dynamics of gradient Kaehler-Ricci solitons that arise as limits of dilations of singularities of the Ricci flow on compact Kaehler manifolds. Our main result is that the underlying spaces of such gradient solitons must be Stein manifolds.
Cao, Huai-Dong, Hamilton, Richard S.
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On the classification of gradient Ricci solitons [PDF]
Geometry & Topology, 2010 14 pages. case.
Petersen, Peter, Wylie, William
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Almost Ricci–Yamabe soliton on contact metric manifolds [PDF]
Arab Journal of Mathematical SciencesPurpose – This paper aims to study almost Ricci–Yamabe soliton in the context of certain contact metric manifolds. Design/methodology/approach – The paper is designed as follows: In Section 3, a complete contact metric manifold with the Reeb vector field
Mohan Khatri, Jay Prakash Singh
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