Results 31 to 40 of about 96,074 (249)
Diameter Estimate in Geometric Flows
Mathematics, 2023 We prove the upper and lower bounds of the diameter of a compact manifold (M,g(t)) with dimRM=n(n≥3) and a family of Riemannian metrics g(t) satisfying some geometric flows. Except for Ricci flow, these flows include List–Ricci flow, harmonic-Ricci flow,
Shouwen Fang, Tao Zheng
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The Chern-Ricci flow on complex surfaces [PDF]
, 2012 The Chern-Ricci flow is an evolution equation of Hermitian metrics by their Chern-Ricci form, first introduced by Gill. Building on our previous work, we investigate this flow on complex surfaces. We establish new estimates in the case of finite time non-
Ben Weinkove +15 more
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Hyperbolic Gradient-Bourgoignon Flow
پژوهشهای ریاضی, 2022 Introduction Ricci solitons as a generalization of Einstein manifolds introduced by Hamilton in mid 1980s. In the last two decades, a lot of researchers have been done on Ricci solitons.
Hamed Faraji +2 more
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Gradient flow of Einstein-Maxwell theory and Reissner-Nordström black holes
Journal of High Energy Physics, 2023 Ricci flow is a natural gradient flow of the Einstein-Hilbert action. Here we consider the analog for the Einstein-Maxwell action, which gives Ricci flow with a stress tensor contribution coupled to a Yang-Mills flow for the Maxwell field.
Davide De Biasio +3 more
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A MECHANICS FOR THE RICCI FLOW
International Journal of Geometric Methods in Modern Physics, 2009 We construct the classical mechanics associated with a conformally flat Riemannian metric on a compact, n-dimensional manifold without boundary. The corresponding gradient Ricci flow equation turns out to equal the time-dependent Hamilton–Jacobi equation of the mechanics so defined.
P. Fernández de Córdoba +3 more
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Ricci flows with unbounded curvature [PDF]
Mathematische Zeitschrift, 2012 Until recently, Ricci flow was viewed almost exclusively as a way of deforming Riemannian metrics of bounded curvature. Unfortunately, the bounded curvature hypothesis is unnatural for many applications, but is hard to drop because so many new phenomena can occur in the general case.
Gregor Giesen, Peter M. Topping
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Metric Perspectives of the Ricci Flow Appliedto Disjoint Unions
Analysis and Geometry in Metric Spaces, 2014 In this paper we consider compact, Riemannian manifolds M1, M2 each equipped with a oneparameterfamily of metrics g1(t), g2(t) satisfying the Ricci flow equation.
Lakzian Sajjad, Munn Michael
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The Soliton-Ricci Flow with variable volume forms
Complex Manifolds, 2016 We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
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Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold
Universe, 2022 In this article, a Ricci soliton and *-conformal Ricci soliton are examined in the framework of trans-Sasakian three-manifold. In the beginning of the paper, it is shown that a three-dimensional trans-Sasakian manifold of type (α,β) admits a Ricci ...
Zhizhi Chen +4 more
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Characterizations of Trivial Ricci Solitons
Advances in Mathematical Physics, 2020 Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton.
Sharief Deshmukh +2 more
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