Results 141 to 150 of about 1,732 (226)

Kähler-Ricci flows coming out of metric spaces

Given a compact Kähler manifold X and a closed, positive (1, 1)-current T on X, we find sufficient conditions for T to induce a metric structure (X, d T ) which is the Gromov-Hausdorff limit of compact Kähler manifolds either in a "static" way or at time
Zeriahi, Ahmed, Guedj, Vincent, Deruelle, Alix, Guenancia, Henri   +3 more
core   +2 more sources

Ricci flow with Ricci curvature and volume bounded below

Mathematische Annalen
We show that a simply-connected closed four-dimensional Ricci flow whose Ricci curvature is uniformly bounded below and whose volume does not approach zero must converge to a $C^{0}$ orbifold at any finite-time singularity, so has an extension through the singularity via orbifold Ricci flow.
openaire   +2 more sources

Limiting behavior of Ricci flows

, 2004
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.Includes bibliographical references (p. 83-85).Consider the unnormalized Ricci flow ...Richard Hamilton showed that if the curvature operator is uniformly bounded under ...
Šešum, Nataša, 1975-
core  

Regularity theory for type I Ricci flows

, 2019
We consider Type I Ricci flows and obtain integral estimates for the curvature tensor valid up to, and including, the singular time. Our estimates partially extend to higher dimensions a curvature estimate recently shown to hold in dimension three by ...
Gianniotis, P.
core  

Existence and applications of Ricci flows via pseudolocality

We prove the short-time existence of Ricci flows on complete manifolds with scalar curvature bounded below uniformly, Ricci curvature bounded below by a negative quadratic function, and with almost Euclidean isoperimetric inequality holds locally.
He, Fei
core  

Pluripotential Chern-Ricci flows

Indiana University Mathematics Journal
Extending a recent theory developed on compact Kähler manifolds by Guedj-Lu-Zeriahi and the author, we define and study pluripotential solutions to degenerate parabolic complex Monge-Ampère equations on compact Hermitian manifolds. Under natural assumptions on the Cauchy boundary data, we show that the pluripotential solution is semi-concave in time ...
openaire   +4 more sources

Flows of Conformally Coclosed G 2 -Structures with Dilaton. [PDF]

J Geom Anal
Karigiannis S, Picard S, Suan C.
europepmc   +1 more source

Singularities of the Chern–Ricci flow

Analysis & PDE
We study the nature of finite-time singularities for the Chern-Ricci flow, partially answering a question of Tosatti-Weinkove. We show that a solution of degenerate parabolic complex Monge-Ampère equations starting from arbitrarily positive (1,1)-currents are smooth outside some analytic subset, generalizing works by Di Nezza-Lu.
openaire   +2 more sources

PLURIPOTENTIAL KAHLER-RICCI FLOWS

, 2018
We develop a parabolic pluripotential theory on compact Kähler manifolds, defining and studying weak solutions to degenerate parabolic complex Monge-Ampère equations. We provide a parabolic analogue of the celebrated Bedford-Taylor theory and apply it to
Zeriahi, Ahmed, Guedj, Vincent, Lu, Chinh H.   +2 more
core  

Aortic dissection in a Jehovah's witness: Frozen Elephant Trunk and subsequent 4D flow MRI analysis, a case report. [PDF]

J Cardiothorac Surg
Asta L, Mancini V, Mantini C, Ricci F, Benedetto U.   +4 more
europepmc   +1 more source