Results 151 to 160 of about 4,567,624 (190)

Results Related to the Chern–Yamabe Flow

The Journal of Geometric Analysis, 2019
The author studies, for a compact complex manifold \(X\) of complex dimension \(n\), endowed with a Hermitian metric \(\omega_0\), the Chern-Yamabe problem, i.e., to find a conformal metric of \(\omega_0\) such that its Chern scalar curvature is constant.
P. Ho
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Discrete Morse Flow for Yamabe Type Heat Flows

Journal of Partial Differential Equations, 2023
Summary: In this paper, we study the discrete Morse flow for either Yamabe type heat flow or nonlinear heat flow on a bounded regular domain in the whole space. We show that under suitable assumptions on the initial data \(g\) one has a weak approximate discrete Morse flow for the Yamabe type heat flow on any time interval.
Li, Ma, Zheng, Wei
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Discrete α-Yamabe flow in 3-dimension

Frontiers of Mathematics in China, 2017
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Huabin Ge, Shiguang Ma
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Discrete Yamabe flows with R-curvature revisited

Journal of Mathematical Analysis and Applications, 2020
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Dai, Song, Ge, Huabin
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Yamabe flow on Berwald manifolds

International Journal of Geometric Methods in Modern Physics, 2015
Studying the geometric flow plays a powerful role in mathematics and physics. We introduce the Yamabe flow on Finsler manifolds and we will prove the existence and uniqueness for solution of Yamabe flow on Berwald manifolds.
Azami, Shahroud, Razavi, Asadollah
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The -Yamabe flow on manifolds with boundary

Nonlinear Analysis: Theory, Methods & Applications, 2013
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Sheng, Weimin, Yuan, Li-Xia
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Yamabe Flow On Nilpotent Lie Groups

Bulletin of the Iranian Mathematical Society, 2019
Geometric flows are evolution flows of geometric structures, constructed for metrics on manifolds. These flows are used to modify and usually to improve the properties of metrics. In this paper, the Yamabe flow (based on the scalar curvature) on Lie groups with left-invariant metrics are investigated in some particular cases -- for the higher ...
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Conformal entropy rigidity through Yamabe flows

Mathematische Annalen, 2011
It is well-known that geometric flows are powerful tools when dealing with geometric problems. In this paper, the authors present variations of the Yamabe flow and use them to investigate the asymptotic geometry of the underlying manifold. For this purpose, they introduce two versions of the Yamabe flow which preserve negative scalar-curvature bounds ...
Suárez-Serrato, Pablo, Tapie, Samuel
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Curvature Tensor under the Yamabe Flow

Advanced Materials Research, 2012
Yamabe flow, curvature, tensor, compact. Abstract. This paper focuses a compact Riemannian manifold Mn evolving under the Yamabe flow and proves that if the Ricci curvature is uniformly bounded under the flow for all times that t from 0 to T and the injectivity radius is bounded below at each time slice, then the curvature tensor is uniformly bounded.
Jing Fang Shen, Jia Jun Yang, Neng Xi
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Yamabe Flow on Non-compact Manifolds with Unbounded Initial Curvature

Journal of Geometric Analysis, 2018
We prove global existence of Yamabe flows on non-compact manifolds M of dimension m≥3\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
Mario B. Schulz
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