Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Robert Haslhofer"'
Publikováno v:
Acta Mathematica. 228:217-301
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::073a74f8bb238ea73bfa14eb85cb25f1
https://doi.org/10.4310/acta.2022.v228.n2.a1
https://doi.org/10.4310/acta.2022.v228.n2.a1
Publikováno v:
Proceedings of the American Mathematical Society. 149:1239-1245
It is a fundamental open problem for the mean curvature flow, and in fact for many partial differential equations, whether or not all blowup limits are selfsimilar. In this short note, we prove that for the mean curvature flow of mean convex surfaces
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6ee33025dab8028ba65d4764d1ec4010
https://doi.org/10.1090/proc/15251
https://doi.org/10.1090/proc/15251
Publikováno v:
American Journal of Mathematics. 142:1877-1896
We prove that for the mean curvature flow of two-convex hypersurfaces the intrinsic diameter stays uniformly controlled as one approaches the first singular time. We also derive sharp $L^{n-1}$-estimates for the regularity scale of the level set flow
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::01b7ad7c3365354acf7bd5e82cf0ffc8
https://doi.org/10.1353/ajm.2020.0046
https://doi.org/10.1353/ajm.2020.0046
Autor:
Robert Haslhofer
In this short note, we observe that the Bamler-Kleiner proof of uniqueness and stability for 3-dimensional Ricci flow through singularities generalizes to singular Ricci flows in higher dimensions that satisfy an analogous canonical neighborhood prop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f847aacb04ff6263366228addf968898
http://arxiv.org/abs/2110.03412
http://arxiv.org/abs/2110.03412
Autor:
Robert Haslhofer, Esther Cabezas-Rivas
Publikováno v:
Journal für die reine und angewandte Mathematik (Crelles Journal). 2020:217-239
We study Brownian motion and stochastic parallel transport on Perelman’s almost Ricci flat manifold ℳ = M × 𝕊 N × I {\mathcal{M}=M\times\mathbb{S}^{N}\times I} , whose dimension depends on a parameter N unbounded from above. We construct seq
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::db38aae57fe8e9179d692fafed10de5d
https://doi.org/10.1515/crelle-2019-0014
https://doi.org/10.1515/crelle-2019-0014
We establish effective existence and uniqueness for the heat flow on time-dependent Riemannian manifolds, under minimal assumptions tailored towards the study of Ricci flow through singularities. The main point is that our estimates only depend on an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6915c423547838c8b93924577047e228
Recall that if $(M^n,g)$ satisfies $\mathrm{Ric}\geq 0$, then the Li-Yau Differential Harnack Inequality tells us for each nonnegative $f:M\to \mathbb{R}^+$, with $f_t$ its heat flow, that $\frac{\Delta f_t}{f_t}-\frac{|\nabla f_t|^2}{f_t^2} +\frac{n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6a1ac54b60da3bded8df0d34549d6176
Autor:
Aaron Naber, Robert Haslhofer
Publikováno v:
Journal of the European Mathematical Society. 20:1269-1302
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a865c65d863fc31525ef86d7e8dba4f9
https://doi.org/10.4171/jems/787
https://doi.org/10.4171/jems/787