EuDML | Browse

We consider the problem of isometric embedding of metric spaces into Banach spaces, and introduce and study the remarkable class of so-called linearly rigid metric spaces: these are the spaces that admit a unique, up to isometry, linearly dense isometric embedding into a Banach space. The first nontrivial example of such a space was given by R. Holmes; he proved that the universal Urysohn space has this property. We give a criterion of linear rigidity of a metric space, which allows us to give a...

Line-hyperline pairs of projective spaces and fundamental subgroups of linear groups.

Gramlich, Ralf (2004)

Advances in Geometry

Line-transitive automorphism groups of linear spaces.

Camina, Alan R., Mishcke, Susanne (1996)

The Electronic Journal of Combinatorics [electronic only]

Lipschitz constants for a hyperbolic type metric under Möbius transformations

Yinping Wu, Gendi Wang, Gaili Jia, Xiaohui Zhang (2024)

Czechoslovak Mathematical Journal

Let $D$ be a nonempty open set in a metric space $(X, d)$ with $\partial D \neq \emptyset$ . Define $h_{D, c} (x, y) = log (1 + c \frac{d (x, y)}{\sqrt{d_{D} (x) d_{D} (y)}}),$ where $d_{D} (x) = d (x, \partial D)$ is the distance from $x$ to the boundary of $D$ . For every $c \geq 2$ , $h_{D, c}$ is a metric. We study the sharp Lipschitz constants for the metric $h_{D, c}$ under Möbius transformations of the unit ball, the upper half space, and the punctured unit ball.

Löbell manifolds revised.

Mednykh, A.D., Vesnin, A.Yu. (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Local rigidity of aspherical three-manifolds

Pierre Derbez (2012)

Annales de l’institut Fourier

In this paper we construct, for each aspherical oriented $3$ -manifold $M$ , a $2$ -dimensional class in the $l_{1}$ -homology of $M$ whose norm combined with the Gromov simplicial volume of $M$ gives a characterization of those nonzero degree maps from $M$ to $N$ which are homotopic to a covering map. As an application we characterize those degree one maps which are homotopic to a homeomorphism in term of isometries between the bounded cohomology groups of $M$ and $N$ .

Currently displaying 1101 – 1120 of 2730

Previous Page 56 Next

Displaying 1101 – 1120 of 2730

Linear codes over finite chain rings.

Linear groups with large cyclic subgroups and translation planes

Lineare Abbildungen aus euklidischen Räumen

Lineare Geradenkomplexe im Flaggenraum I3 (2).

Lineare invariante Gebilde in äquiformen Bewegungen der Räume endlicher Dimension

Linearly rigid metric spaces and the embedding problem

Line-hyperline pairs of projective spaces and fundamental subgroups of linear groups.

Line-transitive automorphism groups of linear spaces.

Lipschitz constants for a hyperbolic type metric under Möbius transformations

Löbell manifolds revised.

Local rigidity of aspherical three-manifolds

Local to global sturcute in twin buildings.

Locally Classical Topological Benz Planes are Classical.

Locally Projective-Planar Lattices which Satisfy the Bundle Theorem.

Locally toroidal regular polytopes of rank 4.

Locally Truncated Buildings and M.... .

Logical opens of exponential objects

Lois de la courbure dans certaines transformations des courbes planes

Lower levels of Euclidean planes.

$m$ -parallelisms.

Currently displaying 1101 – 1120 of 2730