Zobrazeno 1 - 5
of 5
pro vyhledávání: '"53C23, 53A10"'
Autor:
Fiacchi, Matteo
Publikováno v:
Mathematische Zeitschrift, 308, 24, (2024)
In this paper we study the hyperbolicity in the sense of Gromov of domains in $\mathbb{R}^d$ $(d\geq3)$ with respect to the minimal metric introduced by Forstneri\v{c} and Kalaj. In particular, we prove that every bounded strongly minimally convex do
Externí odkaz:
http://arxiv.org/abs/2310.14742
Autor:
Zhu, Jonathan J.
We observe that the $k$-dimensional width of an $n$-ball in a space form is given by the area of an equatorial $k$-ball. We also investigate related lower bounds for the area of a free boundary minimal submanifold in a space form ball.
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Externí odkaz:
http://arxiv.org/abs/2203.10031
Autor:
Alpert, Hannah
We introduce a $\mathbb{Z}$--coefficient version of Guth's macroscopic stability inequality for almost-minimizing hypersurfaces. In manifolds with a lower bound on macroscopic scalar curvature, we use the inequality to prove a lower bound on areas of
Externí odkaz:
http://arxiv.org/abs/1712.04545
Autor:
Jonathan J. Zhu
We observe that the $k$-dimensional width of an $n$-ball in a space form is given by the area of an equatorial $k$-ball. We also investigate related lower bounds for the area of a free boundary minimal submanifold in a space form ball.
Comment:
Comment:
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b7c70c4cd2cb640a06560af61b5ff6de
Autor:
Hannah Alpert
We introduce a $\mathbb{Z}$--coefficient version of Guth's macroscopic stability inequality for almost-minimizing hypersurfaces. In manifolds with a lower bound on macroscopic scalar curvature, we use the inequality to prove a lower bound on areas of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b276e44b09e4839b2ff2320604ce7e1a