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
Ricci flow of Kaehlerian slant submanifolds in complex space forms and its applications
Sign Up to like & getrecommendations! Published in 2024 at "Arabian Journal of Mathematics"
DOI: 10.1007/s40065-024-00474-z
Abstract: The normalized Ricci flow converges to a constant curvature metric for a connected Kaehlerian slant submanifold in a complex space form if the squared norm of the second fundamental form satisfies certain upper bounds. These… read more here.
Keywords: ricci flow; usepackage; complex space; kaehlerian slant ... 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
Sign Up to like & getrecommendations! Published in 2020 at "Annals of Physics"
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
High genus surface parameterization using the Euclidean Ricci flow method
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DOI: 10.1038/s41598-025-97421-5
Abstract: The parameterization of surfaces, which is related to many frontier problems in mathematics, has long been a challenge for scientists and engineers. On the other hand, Ricci flow is a powerful tool in geometric analysis… read more here.
Keywords: euclidean ricci; ricci flow; high genus; 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
Asymptotic behaviour of unstable perturbations of the Fubini–Study metric in Ricci flow
Sign Up to like & getrecommendations! Published in 2025 at "Nonlinearity"
DOI: 10.1088/1361-6544/addf09
Abstract: Kröncke has shown that the Fubini–Study metric is an unstable generalised stationary solution of Ricci flow (Kröncke 2020 Commun. Anal. Geom. 28 35–394). In this paper, we carry out numerical simulations which indicate that Ricci… read more here.
Keywords: ricci flow; fubini study; study metric;