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pro vyhledávání: '"SCHULZE, FELIX"'
Bamler--Kleiner recently proved a multiplicity-one theorem for mean curvature flow in $\mathbb{R}^3$ and combined it with the authors' work on generic mean curvature flows to fully resolve Huisken's genericity conjecture. In this paper we show that a
Externí odkaz:
http://arxiv.org/abs/2409.01463
We study $n$-dimensional Ricci flows with non-negative Ricci curvature where the curvature is pointwise controlled by the scalar curvature and bounded by $C/t$, starting at metric cones which are Reifenberg outside the tip. We show that any such flow
Externí odkaz:
http://arxiv.org/abs/2403.00708
We prove Ilmanen's resolution of point singularities conjecture by establishing short-time smoothness of the level set flow of a smooth hypersurface with isolated conical singularities. This shows how the mean curvature flow evolves through asymptoti
Externí odkaz:
http://arxiv.org/abs/2312.00759
We prove that the mean curvature flow of a generic closed embedded hypersurface in $\mathbb{R}^4$ or $\mathbb{R}^5$ with entropy $\leq 2$, or with entropy $\leq \lambda(\mathbb{S}^1)$ if in $\mathbb{R}^6$, encounters only generic singularities.
Externí odkaz:
http://arxiv.org/abs/2309.03856
Autor:
Schulze, Felix, Malhan, Deeksha, El Khassawna, Thaqif, Heiss, Christian, Seckinger, Anja, Hose, Dirk, Rösen-Wolff, Angela
Publikováno v:
BMC Genomics (2017), 18(1). ISSN: 1471-2164. DOI: 10.1186/s12864-017-4356-4. Artikelnr.: 975.
BACKGROUND: In order to better understand the multifactorial nature of osteoporosis, animal models are utilized and compared to healthy controls. Female sheep are well established as a model for osteoporosis induced by ovariectomy, calcium and vitami
Publikováno v:
Ars Inveniendi Analytica (2024), Paper No. 3, 15 pp
Let $\Gamma$ be a smooth, closed, oriented, $(n-1)$-dimensional submanifold of $\mathbb{R}^{n+1}$. We show that there exist arbitrarily small perturbations $\Gamma'$ of $\Gamma$ with the property that minimizing integral $n$-currents with boundary $\
Externí odkaz:
http://arxiv.org/abs/2306.13191
We give new short proofs of Allard's regularity theorem for varifolds with bounded first variation and Brakke's regularity theorem for integral Brakke flows with bounded forcing. They are based on a decay of flatness, following from weighted versions
Externí odkaz:
http://arxiv.org/abs/2306.02490
Autor:
Schulze, Felix, Malhan, Deeksha, El Khassawna, Thaqif, Heiss, Christian, Seckinger, Anja, Hose, Dirk, Rösen-Wolff, Angela
BACKGROUND: In order to better understand the multifactorial nature of osteoporosis, animal models are utilized and compared to healthy controls. Female sheep are well established as a model for osteoporosis induced by ovariectomy, calcium and vitami
Externí odkaz:
https://tud.qucosa.de/id/qucosa%3A30735
https://tud.qucosa.de/api/qucosa%3A30735/attachment/ATT-0/
https://tud.qucosa.de/api/qucosa%3A30735/attachment/ATT-0/
We show that the mean curvature flow of a generic closed surface in $\mathbb{R}^3$ avoids multiplicity one tangent flows that are not round spheres/cylinders. In particular, we show that any non-cylindrical self-shrinker with a cylindrical end cannot
Externí odkaz:
http://arxiv.org/abs/2302.08409
We prove that singularities of area minimizing hypersurfaces can be perturbed away in ambient dimensions 9 and 10.
Comment: Minor revisions. All comments welcome
Comment: Minor revisions. All comments welcome
Externí odkaz:
http://arxiv.org/abs/2302.02253