Results 41 to 50 of about 103,878 (263)
Communications on Pure and Applied Mathematics, 2012 AbstractIn this paper, we study the moduli spaces of m‐dimensional, κ‐noncollapsed Ricci flow solutions with bounded $\int |Rm|^{{m}/{2}}$ and bounded scalar curvature. We show a weak compactness theorem for such moduli spaces and apply it to study the estimates of isoperimetric constants, the Kähler‐Ricci flows, and the moduli spaces of gradient ...
Chen, Xiuxiong, Wang, Bing
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Ricci Solitons and Einstein-Scalar Field Theory
, 2009 B List has recently studied a geometric flow whose fixed points correspond to static Ricci flat spacetimes. It is now known that this flow is in fact Ricci flow modulo pullback by a certain diffeomorphism.
Anderson M T +20 more
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Ricci-Bourgoignon Flow on Contact Manifolds
پژوهشهای ریاضی, 2020 Introduction After pioneering work of Hamilton in 1982, Ricci flow and other geometric flows became as one of the most interesting topics in both mathematics and physics.
Ghodratallah Fasihi-Ramandi +1 more
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Uniqueness of the Ricci Flow on Complete Noncompact Manifolds
, 2005 The Ricci flow is an evolution system on metrics. For a given metric as initial data, its local existence and uniqueness on compact manifolds was first established by Hamilton \cite{Ha1}. Later on, De Turck \cite{De} gave a simplified proof. In the later
Chen, Bing-Long, Zhu, Xi-Ping
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Electronic Research ArchiveWe proved that on every Stiefel manifold $ V_2\mathbb{R}^n\cong \operatorname{SO}(n)/\operatorname{SO}(n-2) $ with $ n\ge 3 $ the normalized Ricci flow preserves the positivity of the Ricci curvature of invariant Riemannian metrics with positive Ricci ...
Nurlan A. Abiev
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Ricci flow on Kähler manifolds [PDF]
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2001 In this paper, we announce the following results: Let M be a Kaehler-Einstein manifold with positive scalar curvature. If the initial metric has nonnegative bisectional curvature and positive at least at one point, then the K hler-Ricci flow converges exponentially fast to a Kaehler-Einstein metric with constant bisectional curvature.
Chen, Xiuxiong, Tian, Gang
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Ricci ϕ-invariance on almost cosymplectic three-manifolds
Open Mathematics, 2023 Let M3{M}^{3} be a strictly almost cosymplectic three-manifold whose Ricci operator is weakly ϕ\phi -invariant. In this article, it is proved that Ricci curvatures of M3{M}^{3} are invariant along the Reeb flow if and only if M3{M}^{3} is locally ...
Pan Quanxiang
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Advanced Science, EarlyView.This work shows, for the first time, that the stereocilia membrane in cochlear hair cells is dynamically regulated by the mechanotransduction channel to impact the membrane mechanical properties. This work provides direct evidence that the opening and closing associated with the MET channel is regulating the membrane viscosity suggesting that the MET ...
Shefin S. George, Anthony J. Ricci
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A modified Kähler–Ricci flow [PDF]
Mathematische Annalen, 2009 In this note, a modified K hler-Ricci flow is introduced and studied. The main point is to show the flexibility of K hler-Ricci flow and summarize some useful techniques.
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$${\epsilon}$$ ϵ -regularity for shrinking Ricci solitons and Ricci flows [PDF]
Geometric and Functional Analysis, 2017 Comment: 22 ...
Ge, Huabin, Jiang, Wenshuai
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