Zobrazeno 1 - 10
of 9 911
pro vyhledávání: '"Isometric embedding"'
Autor:
Byakuno, Takuma
We construct an isometric embedding of a bounded set in a Euclidean space into the Gromov-Hausdorff space. In particular, we can embed a bounded and connected Riemannian manifold into the Gromov-Hausdorff space by a bilipschitz map.
Externí odkaz:
http://arxiv.org/abs/2410.18442
Autor:
Capdeville, Benjamin
In [The Space of Spaces: Curvature Bounds and Gradient Flows on the Space of Metric Measure Spaces. Memoirs of the American Mathematical Society. American Mathematical Society, 2023], Sturm studied the space of all metric measure spaces up to isomorp
Externí odkaz:
http://arxiv.org/abs/2402.18156
Autor:
Ishiki, Yoshito
In 1959, Arens and Eells proved that every metric space can be isometrically embedded into a real linear space as a closed subset. In later years, Michael pointed out that every metric space can be isometrically embedded into a real linear space as a
Externí odkaz:
http://arxiv.org/abs/2309.06704
Autor:
Sun, Anchen, Yang, Kaiqi
Rip currents pose a significant danger to those who visit beaches, as they can swiftly pull swimmers away from shore. Detecting these currents currently relies on costly equipment and is challenging to implement on a larger scale. The advent of unman
Externí odkaz:
http://arxiv.org/abs/2304.11783
A weighted graph $\phi G$ encodes a finite metric space $D_{\phi G}$. When is $D$ totally decomposable? When does it embed in $\ell_1$ space? When does its representing matrix have $\leq 1$ positive eigenvalue? We give useful lemmata and prove that t
Externí odkaz:
http://arxiv.org/abs/2304.13018
Autor:
Kann, Edgar
We prove that the isometric embedding of any metric of differentiability class C1 in E3 exists. We use simplified notation for the given metric, namely geodesic parameters, and level parameters for the embedded surface in E3. Central to our discussio
Externí odkaz:
http://arxiv.org/abs/2210.02942
Autor:
Choi, Inhyeok
Continuing from a companion article: 'Random walks and contracting elements I: Deviation inequality and limit laws', we study random walks on metric spaces with contracting elements. We prove that random subgroups of the isometry group of a metric sp
Externí odkaz:
http://arxiv.org/abs/2212.12119
Autor:
Zachos, Anastasios N.
In this paper, we study the weighted Fermat-Frechet problem for a $\frac{N (N+1)}{2}-$tuple of positive real numbers determining $N$-simplexes in the $N$ dimensional $K$-Space ($N$-dimensional Euclidean space $\mathbb{R}^{N}$ if $K=0,$ the $N$-dimens
Externí odkaz:
http://arxiv.org/abs/2209.09192
Autor:
CÚTH, MAREK, JOHANIS, MICHAL
Publikováno v:
Proceedings of the American Mathematical Society, 2017 Aug 01. 145(8), 3409-3421.
Externí odkaz:
https://www.jstor.org/stable/90010734
