Results 11 to 20 of about 1,408 (59)
Smooth long‐time existence of Harmonic Ricci Flow on surfaces
Journal of the London Mathematical Society, Volume 95, Issue 1, Page 277-304, February 2017., 2017 Abstract We prove that at a finite singular time for the Harmonic Ricci Flow on a surface of positive genus both the energy density of the map component and the curvature of the domain manifold have to blow up simultaneously. As an immediate consequence, we obtain smooth long‐time existence for the Harmonic Ricci Flow with large coupling constant.
Reto Buzano, Melanie Rupflin
wiley +1 more source
Noncollapsing in mean-convex mean curvature flow
, 2012 We provide a direct proof of a noncollapsing estimate for compact hypersurfaces with positive mean curvature moving under the mean curvature flow: Precisely, if every point on the initial hypersurface admits an interior sphere with radius inversely ...
B. Andrews
semanticscholar +1 more source
Non-K\"ahler Expanding Ricci Solitons II [PDF]
, 2013 We produce new non-Kähler, non-Einstein, complete expanding gradient Ricci solitons with conical asymptotics and underlying manifold of the form R × M2 × · · · × Mr, where r ≥ 2 and Mi are arbitrary closed Einstein spaces with positive scalar curvature ...
M. Buzano +3 more
semanticscholar +1 more source
A level set formulation for Willmore flow
, 2004 A level set formulation of Willmore flow is derived using the gradient flow perspective. Starting from single embedded surfaces and the corresponding gradient flow, the metric is generalized to sets of level set surfaces using the identification of ...
M. Droske, M. Rumpf
semanticscholar +1 more source
Analysis and Geometry in Metric Spaces, 2013 In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca +2 more
doaj +1 more source
A survey on Inverse mean curvature flow in ROSSes
Complex Manifolds, 2017 In this survey we discuss the evolution by inverse mean curvature flow of star-shaped mean convex hypersurfaces in non-compact rank one symmetric spaces.
Pipoli Giuseppe
doaj +1 more source
Cross curvature flow on a negatively curved solid torus [PDF]
, 2009 The classic 2 ‐Theorem of Gromov and Thurston constructs a negatively curved metric on certain 3‐manifolds obtained by Dehn filling. By Geometrization, any such manifold admits a hyperbolic metric.
Jason DeBlois, Dan Knopf, Andrea Young
semanticscholar +1 more source
A new proof of the bound for the first Dirichlet eigenvalue of the Laplacian operator
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2014 In this paper, we present a new proof of the upper and lower bound estimates for the first Dirichlet eigenvalue λ1D(B(p,r))$\lambda _1^D \left({B\left({p,r} \right)} \right)$ of Laplacian operator for the manifold with Ricci curvature Rc ≥ −K, by using
Li Chang-Jun, Gao Xiang
doaj +1 more source
On the convergence of the modified Kähler–Ricci flow and solitons
, 2011 We investigate the Kähler–Ricci flow modified by a holomorphic vector field. We find equivalent analytic criteria for the convergence of the flow to a Kähler–Ricci soliton.
D. Phong +3 more
semanticscholar +1 more source
An Example of Nonexistence of ĸ-solutions to the Ricci Flow
, 2016 Inthis paper, weconstruct anexampleofthree-dimensionalcomplete smooth k−noncollapsed manifold, which admits no short time smooth complete and k− noncollapsed solutions to the Ricci flow. AMS subject classifications: 53C25, 53C44.
Binglong Chen, Huiling Gu
semanticscholar +1 more source