Results 21 to 30 of about 912,180 (214)
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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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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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 flows with non-compact initial conditions [PDF]
, 2021 First, we show that a Ricci flow can be started from a non-compact complete manifold, if the manifold is non-collapsed and satisfies a lower bound for many known curvature conditions.In this theorem, we do not need the manifold to have bounded curvature,
Lai, Yi
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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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The Cotton Tensor and the Ricci Flow [PDF]
Geometric Flows, 2017 AbstractWe compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we discuss some applications.
Carlo Mantegazza +2 more
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Producing 3D Ricci flows with nonnegative Ricci curvature via singular Ricci flows [PDF]
Geometry & Topology, 2021 We extend the concept of singular Ricci flow by Kleiner and Lott from 3d compact manifolds to 3d complete manifolds with possibly unbounded curvature. As an application of the generalized singular Ricci flow, we show that for any 3d complete Riemannian manifold with non-negative Ricci curvature, there exists a smooth Ricci flow starting from it.
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Stabilizing Functional Nucleic Acids for Real‐Sample Diagnostics
Angewandte Chemie, EarlyView.Functional nucleic acids enable programmable real‐sample diagnostics, but often lose function in complex biological matrices. This review highlights four stabilization levers—chemical, topological, architectural, and microenvironment/interface engineering—that preserve aptamer and DNAzyme performance in saliva, serum, urine, and stool, reframing ...
Soyeon Lee +4 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.
Abraham, S. +3 more
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