Global models of Riemannian metrics.

Juan Fontanillas; Fernando Varela

Displaying similar documents to “Global models of Riemannian metrics.”

Convergence of Riemannian manifolds and Laplace operators. I

Atsushi Kasue (2002)

Annales de l’institut Fourier

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We study the spectral convergence of compact Riemannian manifolds in relation with the Gromov-Hausdorff distance and discuss the geodesic distances and the energy forms of the limit spaces.

On a class of weighted function spaces and related pseudodifferential operators

Hans Triebel (1988)

Studia Mathematica

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Almost $r$ -contact structures

Jiří Vanžura (1972)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On two natural Riemannian metrics on a tube.

Labbi, M.-L. (2007)

Balkan Journal of Geometry and its Applications (BJGA)

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An introduction to the completeness of compact semi-riemannian manifolds

Miguel Sánchez (1994-1995)

Séminaire de théorie spectrale et géométrie

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The volumes of small geodesic balls for a metric connection

V. Miquel (1982)

Compositio Mathematica

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Hierarchy of integrable geodesic flows.

Peter Topalov (2000)

Publicacions Matemàtiques

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A family of integrable geodesic flows is obtained. Any such a family corresponds to a pair of geodesically equivalent metrics.

Function spaces of Nikolskii type on compact manifold

Cristiana Bondioli (1992)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Nikolskii spaces were defined by way of translations on $R^{n}$ and by way of coordinate maps on a differentiable manifold. In this paper we prove that, for functions with compact support in $R^{n}$ , we get an equivalent definition if we replace translations by all isometries of $R^{n}$ . This result seems to justify a definition of Nikolskii type function spaces on riemannian manifolds by means of a transitive group of isometries (provided that one exists). By approximation theorems, we prove that - for...