Results 101 to 110 of about 1,504 (198)

An EZ${\mathcal {E}\mathcal {Z}}$‐structure for the mapping class group

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We construct a boundary for the mapping class group Mod(S)${\rm Mod}(S)$ of a surface S$S$ of finite type. The action of Mod(S)${\rm Mod}(S)$ on this boundary is minimal, strongly proximal and topologically free. The boundary is the boundary of an EZ${\mathcal {E}\mathcal {Z}}$‐structure for Mod(S)${\rm Mod}(S)$.
Ursula Hamenstädt
wiley   +1 more source

Intrinsic Isometric Embeddings of Pro-Euclidean Spaces

, 2013
Petrunin proves that a metric space $\mathcal{X}$ admits an intrinsic isometry into $\mathbb{E}^n$ if and only if $\mathcal{X}$ is a pro-Euclidean space of rank at most $n$. He then shows that either case implies that $\mathcal{X}$ has covering dimension $\leq \, n$. In this paper we extend this result to include embeddings. Namely, we first prove that
openaire   +2 more sources

Rigidity of Non-Steady Gradient Ricci Solitons

Axioms
Let (M,g) be a connected, compact Riemannian manifold of dimensionan n. We demonstrate that, after a suitable normalization, a shrinking gradient Ricci soliton (M,g,f,λ) is trivial exactly when the mean value of f is less than or equal to n2.
Mohammed Guediri
doaj   +1 more source

Isometric rigidity of Wasserstein spaces over Euclidean spheres

Journal of Mathematical Analysis and Applications
We study the structure of isometries of the quadratic Wasserstein space $\mathcal{W}_2\left(\mathbb{S}^n,\|\cdot\|\right)$ over the sphere endowed with the distance inherited from the norm of $\mathbb{R}^{n+1}$. We prove that $\mathcal{W}_2\left(\mathbb{S}^n,\|\cdot\|\right)$ is isometrically rigid, meaning that its isometry group is isomorphic to that
György Pál Gehér, Aranka Hrušková, Tamás Titkos, Dániel Virosztek   +3 more
openaire   +3 more sources

Can one hear the shape of a crystal?

Physical Review Research
Isospectrality is a general fundamental concept often involving whether various operators can have identical spectra, i.e., the same set of eigenvalues.
Haina Wang, Salvatore Torquato
doaj   +1 more source

Special Vinberg cones of rank 4

Journal of High Energy Physics
E.B. Vinberg developed a theory of homogeneous convex cones $$C\subset V={\mathbb{R}}^{n}$$ , which has many applications. He gave a construction of such cones in terms of non-associative rank n matrix T-algebras $$\mathcal{T}$$ , that consist of vector ...
D. V. Alekseevsky, P. Osipov
doaj   +1 more source

Local Isometric Embeddings of Surfaces into Euclidean Four Space [PDF]

Indiana University Mathematics Journal, 1971
openaire   +2 more sources

Fast and interpretable quantification of biological shape heterogeneity via stratified Wasserstein kernel. [PDF]

PLoS Comput Biol
Zhao W, Sutherland DJ, Dao Duc K.
europepmc   +1 more source

Geometric moment-based spectral descriptors for robust non-rigid 3D shape analysis. [PDF]

Sci Rep
Zhang D, Liu N, Wu Z, Lv C, Zhao D.
europepmc   +1 more source

Median geometry for spaces with measured walls and for groups. [PDF]

Math Ann
Chatterji I, Druţu C.
europepmc   +1 more source