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The Ricci–Bourguignon flow [PDF]
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GIOVANNI CATINO +4 more
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We give a survey on the Chern–Ricci flow, a parabolic flow of Hermitian metrics on complex manifolds. We emphasize open problems and new directions.
Valentino Tosatti, Ben Weinkove
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The ∗-Ricci Operator on Hopf Real Hypersurfaces in the Complex Quadric
We study the ∗-Ricci operator on Hopf real hypersurfaces in the complex quadric. We prove that for Hopf real hypersurfaces in the complex quadric, the ∗-Ricci tensor is symmetric if and only if the unit normal vector field is singular.
Rongsheng Ma, Donghe Pei
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SOME RESULTS ON ∗−RICCI FLOW [PDF]
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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Evolution for First Eigenvalue of LT,f on an Evolving Riemannian Manifold
In this paper, evolution formulas for the first non-zero eigenvalue of the operator LT,f on a weighted closed Riemannian manifold along the Ricci flow as well as along the Yamabe flow are formulated.
Apurba Saha +4 more
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On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow
This paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow.
Abimbola Abolarinwa +2 more
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Ricci-Bourguignon flow on an open surface [PDF]
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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Ricci Flow and Ricci Limit Spaces [PDF]
I survey some of the developments in the theory of Ricci flow and its applications from the past decade. I focus mainly on the understanding of Ricci flows that are permitted to have unbounded curvature in the sense that the curvature can blow up as we wander off to spatial infinity and/or as we decrease time to some singular time.
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Remarks on Kähler Ricci Flow [PDF]
We note an overlap with the paper of Rubinstein [Ru1].
Chen, Xiuxiong, Wang, Bing
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Diameter Estimate in Geometric Flows
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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