Results 61 to 70 of about 4,696,479 (281)
The Ricci flow under almost non-negative curvature conditions [PDF]
Inventiones Mathematicae, 2017 We generalize most of the known Ricci flow invariant non-negative curvature conditions to less restrictive negative bounds that remain sufficiently controlled for a short time.
R. Bamler +2 more
semanticscholar +1 more source
$${\epsilon}$$ 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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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
doaj
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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Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces [PDF]
Geometry and Topology, 2017 We use Ricci flow to obtain a local bi-Holder correspondence between Ricci limit spaces in three dimensions and smooth manifolds. This is more than a complete resolution of the three-dimensional case of the conjecture of Anderson-Cheeger-Colding-Tian ...
Miles Simon, P. Topping
semanticscholar +1 more source
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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A note on conformal Ricci flow [PDF]
Pacific Journal of Mathematics, 2014 In this note we study conformal Ricci flow introduced by Arthur Fischer. We use DeTurck's trick to rewrite conformal Ricci flow as a strong parabolic-elliptic partial differential equations. Then we prove short time existences for conformal Ricci flow on compact manifolds as well as on asymptotically flat manifolds.
Lu, Peng, Qing, Jie, Zheng, Yu
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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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Stability of hyperbolic space under Ricci flow
, 2010 We study the Ricci flow of initial metrics which are C^0-perturbations of the hyperbolic metric on H^n. If the perturbation is bounded in the L^2-sense, and small enough in the C^0-sense, then we show the following: In dimensions four and higher, the ...
Schnürer, Oliver C. +2 more
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Renormalization Group and the Ricci Flow [PDF]
Milan Journal of Mathematics, 2010 30 pages, 16 PNG figures, Conference talk at the Riemann International School of Mathematics: Advances in Number Theory and Geometry, Verbania April 19-24, 2009- Proceedings to appear in Milan Journal of Mathematics (Birkhauser)
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