Zobrazeno 1 - 10
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pro vyhledávání: '"Nabutovsky, A."'
We investigate the dependence on the dimension in the inequalities that relate the volume of a closed submanifold $M^n\subset \mathbb{R}^N$ with its $l^\infty$-width $W^{l^\infty}_{n-1}(M^n)$ defined as the infimum over all continuous maps $\phi:M^n\
Externí odkaz:
http://arxiv.org/abs/2402.07810
We prove the following result: For each closed $n$-dimensional manifold $M$ in a (finite or infinite-dimensional) Banach space $B$, and each positive real $m\leq n$ there exists a pseudomanifold $W^{n+1}\subset B$ such that $\partial W^{n+1}=M^n$ and
Externí odkaz:
http://arxiv.org/abs/2304.02709
A geodesic flower is a finite collection of geodesic loops based at the same point $p$ that satisfy the following balancing condition: The sum of all unit tangent vectors to all geodesic arcs meeting at $p$ is equal to the zero vector. In particular,
Externí odkaz:
http://arxiv.org/abs/2205.09242
Autor:
Braghieri, Lorenzo, Ahmed, Aamir, Curtis, Anne B., Kim, Jeeyun A., Connolly, Allison T., Nabutovsky, Yelena, Kim, Grant, Ganz, Leonard, Wilkoff, Bruce L.
Publikováno v:
In Heart Rhythm
We show that for every closed Riemannian manifold there exists a continuous family of $1$-cycles (defined as finite collections of disjoint closed curves) parametrized by a sphere and sweeping out the whole manifold so that the lengths of all connect
Externí odkaz:
http://arxiv.org/abs/2007.14954
Autor:
Nabutovsky, Alexander
Publikováno v:
Geom. Topol. 26 (2022) 3123-3142
Let $M^n$ be a closed Riemannian manifold. Larry Guth proved that there exists $c(n)$ with the following property: if for some $r>0$ the volume of each metric ball of radius $r$ is less than $({r\over c(n)})^n$, then there exists a continuous map fro
Externí odkaz:
http://arxiv.org/abs/1909.12225
We prove a new version of isoperimetric inequality: Given a positive real $m$, a Banach space $B$, a closed subset $Y$ of metric space $X$ and a continuous map $f:Y \rightarrow B$ with $f(Y)$ compact $$\inf_FHC_{m+1}(F(X))\leq c(m)HC_m(f(Y))^{\frac{m
Externí odkaz:
http://arxiv.org/abs/1905.06522
Autor:
Nabutovsky, Alexander, Parsch, Fabian
Geodesic nets on Riemannian manifolds form a natural class of stationary objects generalizing geodesics. Yet almost nothing is known about their classification or general properties even when the ambient Riemannian manifold is the Euclidean plane or
Externí odkaz:
http://arxiv.org/abs/1904.00483
Autor:
Nabutovsky, Irene1,2 (AUTHOR) k.irishke@gmail.com, Sabah, Roy3 (AUTHOR) yoram.epstein@sheba.health.gov.il, Moreno, Merav2 (AUTHOR), Epstein, Yoram3 (AUTHOR), Klempfner, Robert1,2 (AUTHOR), Scheinowitz, Mickey4,5,6 (AUTHOR) mickeys@tauex.tau.ac.il
Publikováno v:
Journal of Clinical Medicine. Mar2024, Vol. 13 Issue 5, p1445. 16p.
Autor:
Miller, Eden, Roberts, Gregory J., Joseph, Jennifer M., Nabutovsky, Yelena, Reyes, Ignacio J., Souto, Diana, Virdi, Naunihal, Hirsch, Irl B.
Publikováno v:
In American Journal of Medicine Open June 2023 9