[图书][B] Ricci flow and the sphere theorem
S Brendle - 2010 - books.google.com
" In 1982, R. Hamilton introduced a nonlinear evolution equation for Riemannian metrics
with the aim of finding canonical metrics on manifolds. This evolution equation is known as …
with the aim of finding canonical metrics on manifolds. This evolution equation is known as …
Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations
B Andrews - Surveys in differential geometry, 2014 - intlpress.com
Moduli of continuity, isoperimetric profiles, and multi-point estimates in geometric heat equations
Page 1 Surveys in Differential Geometry XIX Moduli of continuity, isoperimetric profiles, and …
Page 1 Surveys in Differential Geometry XIX Moduli of continuity, isoperimetric profiles, and …
Non-collapsing in fully non-linear curvature flows
We consider compact, embedded hypersurfaces of Euclidean spaces evolving by fully non-
linear flows in which the normal speed of motion is a homogeneous degree one, concave or …
linear flows in which the normal speed of motion is a homogeneous degree one, concave or …
Ricci flow on surfaces along the standard lightcone in the -Minkowski spacetime
M Wolff - Calculus of Variations and Partial Differential …, 2023 - Springer
Identifying any conformally round metric on the 2-sphere with a unique cross section of the
standard lightcone in the 3+ 1-Minkowski spacetime, we gain a new perspective on 2 d-Ricci …
standard lightcone in the 3+ 1-Minkowski spacetime, we gain a new perspective on 2 d-Ricci …
A De Lellis–Müller type estimate on the Minkowski lightcone
M Wolff - Calculus of Variations and Partial Differential …, 2024 - Springer
We prove an analogue statement to an estimate by De Lellis–Müller in R 3 on the standard
Minkowski lightcone. More precisely, we show that under some additional assumptions, any …
Minkowski lightcone. More precisely, we show that under some additional assumptions, any …
Isoperimetric comparisons via viscosity
L Ni, K Wang - The Journal of Geometric Analysis, 2016 - Springer
Viscosity solutions are suitable notions in the study of nonlinear PDEs justified by estimates
established via the maximum principle or the comparison principle. Here we prove that the …
established via the maximum principle or the comparison principle. Here we prove that the …
[PDF][PDF] Non-collapsing for hypersurface flows in the sphere and hyperbolic space
arXiv:1206.6240v1 [math.DG] 27 Jun 2012 Page 1 arXiv:1206.6240v1 [math.DG] 27 Jun 2012
NON-COLLAPSING FOR HYPERSURFACE FLOWS IN THE SPHERE AND HYPERBOLIC …
NON-COLLAPSING FOR HYPERSURFACE FLOWS IN THE SPHERE AND HYPERBOLIC …
Gradient and oscillation estimates and their applications in geometric PDE
B Andrews - Fifth International Congress of Chinese …, 2010 - books.google.com
We describe some recent 'oscillation'estimates in geometric PDE, where estimates are
produced using the maximum principle applied to functions depending on several points …
produced using the maximum principle applied to functions depending on several points …
An area growth argument for null mean curvature flow along the standard de Sitter lightcone
M Wolff - arXiv preprint arXiv:2312.07317, 2023 - arxiv.org
We consider null mean curvature flow along the standard lightcone in the de Sitter
spacetime. This flow was first studied by Roesch--Scheuer along null hypersurfaces for the …
spacetime. This flow was first studied by Roesch--Scheuer along null hypersurfaces for the …
Uniform Lipschitz continuity of the isoperimetric profile of compact surfaces under normalized Ricci flow
Y Zheng - Proceedings of the American Mathematical Society, 2021 - ams.org
We show that the isoperimetric profile $ h_ {g (t)}(\xi) $ of a compact Riemannian manifold
$(M, g) $ is jointly continuous when metrics $ g (t) $ vary continuously. We also show that …
$(M, g) $ is jointly continuous when metrics $ g (t) $ vary continuously. We also show that …