Results 161 to 170 of about 9,543 (234)

Brain surface conformal parameterization with the Ricci flow. [PDF]

IEEE Trans Med Imaging, 2012
Wang Y, Shi J, Yin X, Gu X, Chan TF, Yau ST, Toga AW, Thompson PM.   +7 more
europepmc   +1 more source

Studying ventricular abnormalities in mild cognitive impairment with hyperbolic Ricci flow and tensor-based morphometry. [PDF]

Neuroimage, 2015
Shi J, Stonnington CM, Thompson PM, Chen K, Gutman B, Reschke C, Baxter LC, Reiman EM, Caselli RJ, Wang Y, Alzheimer's Disease Neuroimaging Initiative.   +10 more
europepmc   +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

L2-preserving Schrodinger heat flow under the Ricci flow

, 2015
. In the present paper, we study the L2−preserved Schrödinger heat flow under the Ricci flow on closed manifolds. First, we establish the global existence and the uniqueness of the solution to the heat flow under the Ricci flow.
Linfeng Wang
core  

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

DEGENERATE NECKPINCHES IN RICCI FLOW

, 2014
. In earlier work [2], we derived formal matched asymptotic profiles for families of Ricci flow solutions developing Type-II degenerate neckpinches. In the present work, we prove that there do exist Ricci flow solutions that develop singularities modeled
James Isenberg, Sigurd B. Angenent, Dan Knopf   +2 more
core  

Matrix Li-Yau-Hamilton estimates under Ricci flow and parabolic frequency. [PDF]

Calc Var Partial Differ Equ
Li X, Zhang QS.
europepmc   +1 more source

The Ricci Flow on Spin Manifolds

This first part of this thesis generalizes classical spin geometry to the setting of weighted manifolds (manifolds with density) and provides applications to the Ricci f low.
Baldauf, Julius
core  

Lectures on the Ricci flow

, 2006
An introduction to Ricci flow suitable for graduate students and research ...
Topping, Peter
core  

Aspects of pseudolocality in Ricci flow [PDF]

This thesis explores two separate problems related to the phenomenon of pseudolocality within Ricci flow. First, we consider the regularity of noncollapsed three-dimensional Ricci limit spaces via Ricci flow.
Mcleod, Andrew Donald
core