Results 1 to 10 of about 5,936 (174)
Slowly converging Yamabe flows [PDF]
Geometry & Topology, 2015 We characterize the rate of convergence of a converging volume-normalized Yamabe flow in terms of Morse theoretic properties of the limiting metric. If the limiting metric is an integrable critical point for the Yamabe functional (for example, this holds
Carlotto, Alessandro +2 more
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On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow [PDF]
Analysis and Geometry in Metric Spaces, 2023 The weighted Yamabe problem introduced by Case is the generalization of the Gagliardo-Nirenberg inequalities to smooth metric measure spaces. More precisely, given a smooth metric measure space (M,g,e−ϕdVg,m)\left(M,g,{e}^{-\phi }{\rm{d}}{V}_{g},m), the ...
Ho Pak Tung, Shin Jinwoo
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New type I ancient compact solutions of the Yamabe flow [PDF]
, 2016 We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as t→−∞, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions.
Daskalopoulos, Panagiota +3 more
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Perelman's Invariant, Ricci Flow, and the Yamabe Invariants of Smooth Manifolds [PDF]
, 2006 In his study of Ricci flow, Perelman introduced a smooth-manifold invariant called lambda-bar. We show here that, for completely elementary reasons, this invariant simply equals the Yamabe invariant, alias the sigma constant, whenever the latter is non ...
Akutagawa, Kazuo +2 more
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Evolution of relative Yamabe constant under Ricci Flow [PDF]
, 2019 Let $W$ be a manifold with boundary $M$ given together with a conformal class $\bar C$ which restricts to a conformal class $C$ on $M$. Then the relative Yamabe constant $Y_{\bar C}(W,M;C)$ is well-defined.
Botvinnik, Boris, Lu, Peng
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Yamabe constant evolution and monotonicity along the conformal Ricci flow
AIMS Mathematics, 2022 We investigate the Yamabe constant's behaviour in a conformal Ricci flow. For conformal Ricci flow metric g(t), t∈[0,T), the time evolution formula for the Yamabe constant Y(g(t)) is derived.
Yanlin Li +3 more
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Evolution for First Eigenvalue of LT,f on an Evolving Riemannian Manifold
Mathematics, 2022 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 Existence of Yamabe Gradient Solitons [PDF]
International Journal of Mathematical, Engineering and Management Sciences, 2018 The Yamabe soliton is a special soliton of Yamabe flow obtained by R. S. Hamilton, which was formulated due to Yamabe formula introduced by H. Yamabe in 1960. Recently Cao, Sun and Zhang introduced Yamabe gradient soliton. In this paper, the existence of
Yadab Chandra Mandal, Shyamal Kumar Hui
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An Introduction to Conformal Ricci Flow [PDF]
, 2003 We introduce a variation of the classical Ricci flow equation that modifies the unit volume constraint of that equation to a scalar curvature constraint.
Anderson M +43 more
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First eigenvalues of geometric operators under the Yamabe flow
, 2018 Suppose $(M,g_0)$ is a compact Riemannian manifold without boundary of dimension $n\geq 3$. Using the Yamabe flow, we obtain estimate for the first nonzero eigenvalue of the Laplacian of $g_0$ with negative scalar curvature in terms of the Yamabe metric ...
Ho, Pak Tung
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