Results 131 to 140 of about 912,180 (214)

Optimal curvature estimates for homogeneous Ricci flows

, 2017
We prove uniform curvature estimates for homogeneous Ricci flows: For a solution defined on [0, t] the norm of the curvature tensor at time t is bounded by the maximum of C(n)/t and C(n)(scal(g(t)) - scal(g(0))).
Böhm, Christoph, Simon, Miles, Christoph Böhm, Lafuente, Ramiro, Miles Simon, Ramiro Lafuente   +5 more
core   +1 more source

Harnack estimates for geometric flows, applications to Ricci flow coupled with harmonic map flow

, 2014
peer reviewedWe derive Harnack estimates for heat and conjugate heat equations in abstract geometric flows. The main results lead to new Harnack inequalities for a variety of geometric flows. In particular, Harnack inequalities for the Ricci flow coupled
He, Tongtong, GUO, Hongxin
core   +1 more source

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

Pseudolocality and completeness for nonnegative Ricci curvature limits of 3D singular Ricci flows

Lai (2021) used singular Ricci flows, introduced by Kleiner and Lott (2017), to construct a nonnegative Ricci curvature Ricci flow $g(t)$ emerging from an arbitrary 3D complete noncompact Riemannian manifold $(M^3, g_0)$ which has nonnegative Ricci ...
Chau, Albert, Martens, Adam
core  

Existence and applications of Ricci flows via pseudolocality [PDF]

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   +1 more source

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

Splitting maps in Type I Ricci flows [PDF]

We study the existence and small scale behaviour of almost splitting maps along a Ricci flow satisfying Type I curvature bounds. These are special solutions of the heat equation that serve as parabolic analogues of harmonic almost splitting maps, which ...
Gianniotis, Panagiotis
core   +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

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

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

Environmental footprint of inhalational paediatric anaesthesia: emission intensity is highest in smaller patients. [PDF]

Anaesth Intensive Care
Ricci Z, Fischer M, Di Biase C, Angileri S, Steinberg I, Albino D, Colosimo D.   +6 more
europepmc   +1 more source