Results 111 to 120 of about 4,659,666 (289)
Renormalization Group and the Ricci Flow [PDF]
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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Some New Characterizations of Trivial Ricci–Bourguignon Solitons
A Ricci–Bourguignon soliton is a self-similar solution to the Ricci–Bourguignon flow equation, and a Ricci–Bourguignon soliton is called trivial if its potential field is zero or killing.
Hana Al-Sodais+4 more
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The Soliton Kähler-Ricci Flow over Fano Manifolds [PDF]
We introduce a flow of K\"ahler structures over Fano manifolds with formal limit at infinite time a K\"ahler-Ricci soliton. This flow correspond to a Perelman's modified backward K\"ahler-Ricci type flow that we call Soliton-K\"ahler-Ricci flow. It can be generated by the Soliton-Ricci flow.
arxiv
The Ricci flow on manifolds with boundary [PDF]
Improved exposition and statement on the control of the existence time of the Ricci flow, and updated/added some references. Also, a new section is added, demonstrating a situation in which the existence time of the Ricci flow (with boundary) with flat initial data and well behaved boundary data may become arbitrarily ...
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ABSTRACT Background The severe acute respiratory syndrome coronavirus 2 (SARS‐CoV‐2) pandemic has highlighted the potential exacerbation of gastrointestinal symptoms in patients with disorders of gut‐brain interaction (DGBIs). However, the distinct symptom trajectories and psychological burden in patients with post‐COVID‐19 DGBIs compared with patients
Giovanni Marasco+68 more
wiley +1 more source
Ricci Lower Bound for Kähler-Ricci Flow [PDF]
In this note, we provide some general discussion on the Ricci lower bound along K\"ahler-Ricci flow with singularity over closed manifold.
arxiv
Strong uniqueness of the Ricci flow [PDF]
In this paper, we derive some local a priori estimates for Ricci flow. This gives rise to some strong uniqueness theorems. As a corollary, let $g(t)$ be a smooth complete solution to the Ricci flow on $\mathbb{R}^{3}$, with the canonical Euclidean metric $E$ as initial data, then $g(t)$ is trivial, i.e. $g(t)\equiv E$.
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Pseudolocality for the Ricci Flow and Applications [PDF]
Abstract Perelman established a differential Li-Yau-Hamilton (LYH) type inequality for fundamental solutions of the conjugate heat equation corresponding to the Ricci flow on compact manifolds. As an application of the LYH inequality, Perelman proved a pseudolocality result for the Ricci flow on compact manifolds. In this article we provide the details
Luen-Fai Tam, Albert Chau, Chengjie Yu
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ABSTRACT The distribution of micro‐ and nanoplastics (MNPs) in the environment is increasingly becoming a cause of concern for human health. The small size of these particles makes them prone to accumulate not only in the tissues of various organs but also enables them to enter cells and act as carriers of external materials and microbes.
Alessandra Gianoncelli+11 more
wiley +1 more source
Geometric Classifications of Perfect Fluid Space-Time Admit Conformal Ricci-Bourguignon Solitons
This paper is dedicated to the study of the geometric composition of a perfect fluid space-time with a conformal Ricci-Bourguignon soliton, which is the extended version of the soliton to the Ricci-Bourguignon flow.
Noura Alhouiti+5 more
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