Kähler–Ricci flow on blowups along submanifolds
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Annalen"
DOI: 10.1007/s00208-019-01878-5
Abstract: In this short note, we study the behavior of Kaher-Ricci flow on Kahler manifolds which contract divisors to smooth submanifolds. We show that the Kahler potentials are Holder continuous and the flow converges sequentially in… read more here.
Keywords: ricci flow; flow blowups; blowups along; hler ricci ... See more keywords
Pyramid Ricci flow in higher dimensions
Sign Up to like & getrecommendations! Published in 2019 at "Mathematische Zeitschrift"
DOI: 10.1007/s00209-020-02472-1
Abstract: In this paper, we construct a pyramid Ricci flow starting with a complete Riemannian manifold $$(M^n,g_0)$$ ( M n , g 0 ) that is PIC1, or more generally satisfies a lower curvature bound $${\mathrm… read more here.
Keywords: ricci flow; flow higher; pyramid ricci; higher dimensions ... See more keywords
Ricci Flow Approach to the Cosmological Constant Problem
Sign Up to like & getrecommendations! Published in 2019 at "Foundations of Physics"
DOI: 10.1007/s10701-021-00405-4
Abstract: In order to resolve the cosmological constant problem, the notion of reference frame is re-examined at the quantum level. By using a quantum non-linear sigma model (Q-NLSM), a theory of quantum spacetime reference frame is… read more here.
Keywords: ricci flow; cosmological constant; geometry; constant problem ... See more keywords
Rotationally symmetric Ricci flow on Rn+1
Sign Up to like & getrecommendations! Published in 2021 at "Advances in Mathematics"
DOI: 10.1016/j.aim.2021.107621
Abstract: Abstract We study the Ricci flow on R n + 1 , with n ≥ 2 , starting at some complete bounded curvature rotationally symmetric metric g 0 . We first focus on the case… read more here.
Keywords: rotationally symmetric; ricci flow; symmetric ricci;
Constructing Lifshitz spaces using the Ricci flow
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DOI: 10.1016/j.aop.2020.168093
Abstract: In this work we make use of the Ricci flow equations to show that, by starting from a general ansatz for the metric, we can construct two kinds of Lifshitz spaces in which: (a) the… read more here.
Keywords: constructing lifshitz; ricci flow; spaces using; lifshitz spaces ... See more keywords
Local elliptic gradient estimates for a nonlinear parabolic equation under the Ricci flow
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.05.006
Abstract: Abstract In this study, we derive local elliptic (Hamilton type and Souplet–Zhang type) gradient estimates for positive solutions of the nonlinear parabolic partial differential equation ( Δ t − ∂ t ) u = q… read more here.
Keywords: ricci flow; gradient estimates; nonlinear parabolic; local elliptic ... See more keywords
A note on conical Kähler-Ricci flow on minimal elliptic Kähler surfaces
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Scientia"
DOI: 10.1016/s0252-9602(17)30124-8
Abstract: Abstract We prove that, under a semi-ampleness type assumption on the twisted canonical line bundle, the conical Kahler-Ricci flow on a minimal elliptic Kahler surface converges in the sense of currents to a generalized conical… read more here.
Keywords: hler; minimal elliptic; flow minimal; ricci flow ... See more keywords
Singularity of connection Ricci flow for three-manifolds
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DOI: 10.1063/1.5001337
Abstract: We study the long-time behavior of the solution to the connection Ricci flow on closed three-manifolds. The connection Ricci flow is a generalization of the Ricci flow to connection with torsion. We compare the evolving… read more here.
Keywords: ricci flow; three manifolds; connection ricci; ricci ... See more keywords
Discrete Surface Ricci Flow for General Surface Meshing in Computational Electromagnetics Using Iterative Adaptive Refinement
Sign Up to like & getrecommendations! Published in 2021 at "IEEE Transactions on Antennas and Propagation"
DOI: 10.1109/tap.2020.3008657
Abstract: We propose a surface meshing approach for computational electromagnetics (CEM) based on discrete surface Ricci flow (DSRF) with iterative adaptive refinement (AR) in the parametric domain for the automated generation of high-quality surface meshes of… read more here.
Keywords: discrete surface; ricci flow; computational electromagnetics; surface meshing ... See more keywords
The Wasserstein geometry of nonlinear σ models and the Hamilton–Perelman Ricci flow
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DOI: 10.1142/s0129055x17500015
Abstract: Nonlinear sigma models are quantum field theories describing, in the large deviation sense, random fluctuations of harmonic maps between a Riemann surface and a Riemannian manifold. Via their formal renormalization group analysis, they provide a… read more here.
Keywords: perelman ricci; hamilton perelman; ricci flow; geometry ... See more keywords
Sasaki–Ricci flow on Sasaki–Einstein space T1,1 and deformations
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Modern Physics A"
DOI: 10.1142/s0217751x18450148
Abstract: We study the transverse Kähler structure of the Sasaki–Einstein space [Formula: see text]. A set of local holomorphic coordinates is introduced and a Sasakian analogue of the Kähler potential is given. We investigate deformations of… read more here.
Keywords: sasaki ricci; sasaki einstein; einstein space; ricci flow ... See more keywords