On pairs of metrics invariant under a cocompact action of a group.

Krat, S.A.

Displaying similar documents to “On pairs of metrics invariant under a cocompact action of a group.”

Some distortion theorems related to an invariant metric in C²

Stefan Bergman (1967)

Colloquium Mathematicae

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Invariant metrics on $G$ -spaces

Bogusław Hajduk, Rafał Walczak (2003)

Czechoslovak Mathematical Journal

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Let $X$ be a $G$ -space such that the orbit space $X / G$ is metrizable. Suppose a family of slices is given at each point of $X$ . We study a construction which associates, under some conditions on the family of slices, with any metric on $X / G$ an invariant metric on $X$ . We show also that a family of slices with the required properties exists for any action of a countable group on a locally compact and locally connected metric space.

Invariant distances and metrics in complex analysis-revisited

Marek Jarnicki, Peter Pflug

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Volume preserving actions of lattices in semisimple groups on compact manifolds

Robert Zimmer (1984)

Publications Mathématiques de l'IHÉS

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On naturally reductive left-invariant metrics of $SL (2, ℝ)$

Stefan Halverscheid, Andrea Iannuzzi (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On any real semisimple Lie group we consider a one-parameter family of left-invariant naturally reductive metrics. Their geodesic flow in terms of Killing curves, the Levi Civita connection and the main curvature properties are explicitly computed. Furthermore we present a group theoretical revisitation of a classical realization of all simply connected 3-dimensional manifolds with a transitive group of isometries due to L. Bianchi and É. Cartan. As a consequence one obtains a characterization...

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The Kantorovich metric: the initial history and little-known applications.

Vershik, A.M. (2004)

Zapiski Nauchnykh Seminarov POMI

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Remarks on invariant measures in metric spaces

Jan Mycielski (1974)

Colloquium Mathematicae

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Displaying similar documents to “On pairs of metrics invariant under a cocompact action of a group.”

Some distortion theorems related to an invariant metric in C²

Invariant metrics on $G$ -spaces

Invariant distances and metrics in complex analysis-revisited

Volume preserving actions of lattices in semisimple groups on compact manifolds

On naturally reductive left-invariant metrics of $SL (2, ℝ)$

Invariant functions and metrics in complex analysis

Limited-memory variable metric methods based on invariant matrices

Non-archimedian metrizability of topological groups

The Kantorovich metric: the initial history and little-known applications.

Remarks on invariant measures in metric spaces