Results 31 to 40 of about 5,224,338 (238)
Remarks on Kähler Ricci Flow [PDF]
Journal of Geometric Analysis, 2009 We study some estimates along the Kahler Ricci flow on Fano manifolds. Using these estimates, we show the convergence of Kahler Ricci flow directly if the $α$-invariant of the canonical class is greater than $\frac{n}{n+1}$. Applying these convergence theorems, we can give a flow proof of Calabi conjecture on such Fano manifolds.
Chen, Xiuxiong, Wang, Bing
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RICCI LOWER BOUND FOR KÄHLER–RICCI FLOW [PDF]
Communications in Contemporary Mathematics, 2014 We provide general discussion on the lower bound of Ricci curvature along Kähler–Ricci flows over closed manifolds. The main result is the non-existence of Ricci lower bound for flows with finite time singularities and non-collapsed global volume. As an application, we give examples showing that positivity of Ricci curvature would not be preserved by ...
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A Derivation of the Ricci Flow
Journal of Applied Mathematics and Physics, 2021 In this work, we show that by restricting to the subgroup of time-independent coordinate transformations, then it is possible to derive the Ricci flow from the Bianchi identities. To achieve this, we first show that the field equations of the gravitational field, the Newton’s second law of classical dynamics, and the Maxwell field equations of the ...
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SOME RESULTS ON ∗−RICCI FLOW [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2021 In this paper we have introduced the notion of ∗-Ricci flow and shown that ∗-Ricci soliton which was introduced by Kaimakamis and Panagiotidou in 2014 which is a self similar soliton of the ∗-Ricci flow. We have also find the deformation of geometric curvature tensors under ∗-Ricci flow.
Dipankar Debnath, Nirabhra Basu
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The twisted Kähler–Ricci flow [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2014 AbstractIn this paper we study a generalization of the Kähler–Ricci flow, in which the Ricci form is twisted by a closed, non-negative(1,1)$(1,1)$-form. We show that when a twisted Kähler–Einstein metric exists, then this twisted flow converges exponentially.
Collins, Tristan C. +1 more
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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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Ricci-Bourguignon flow on an open surface [PDF]
Journal of Mahani Mathematical Research, 2023 In this paper, we investigate the normalized Ricci-Bourguignon flow with incomplete initial metric on an open surface. We show that such a flow converges exponentially to a metric with constant Gaussian curvature if the initial metric is suitable.
Shahroud Azami
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Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions [PDF]
Geometry & Topology, 2020 We extend the second part of \cite{Bre18} on the uniqueness of ancient $\kappa$-solutions to higher dimensions. We show that for dimensions $n \geq 4$ every noncompact, nonflat, complete, ancient solution of the Ricci flow that is uniformly PIC and ...
S. Brendle, Keaton Naff
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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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