Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms.

Michor, Peter W.; Mumford, David

Displaying similar documents to “Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms.”

Infinitesimal conjugacies and Weil-Petersson metric

Albert Fathi, L. Flaminio (1993)

Annales de l'institut Fourier

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We study deformations of compact Riemannian manifolds of negative curvature. We give an equation for the infinitesimal conjugacy between geodesic flows. This in turn allows us to compute derivatives of intersection of metrics. As a consequence we obtain a proof of a theorem of Wolpert.

Submanifold geometry and Hessians on the pseudoriemannian manifold of metrics.

Neuwirther, M. (1993)

Acta Mathematica Universitatis Comenianae. New Series

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The nullity spaces of the curvature operator

Robert Maltz (1966)

Cahiers de Topologie et Géométrie Différentielle Catégoriques

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Geodesics and curvature of semidirect product groups

Vizman, Cornelia

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Summary: Geodesics and curvature of semidirect product groups with right invariant metrics are determined. In the special case of an isometric semidirect product, the curvature is shown to be the sum of the curvature of the two groups. A series of examples, like the magnetic extension of a group, are then considered.

On the Differentiability of a Distance Function

Kwang-Soon Park (2008)

Publications de l'Institut Mathématique

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A characterization of the Grassmann manifold $G_{p, 2} (ℝ)$ . Another review.

Ledger, A.J., Papantoniou, B.J. (1989)

International Journal of Mathematics and Mathematical Sciences

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Piecewise Euclidean structures and Eberlein's rigidity theorem in the singular case.

Davis, Michael W., Okun, Boris, Zheng, Fangyang (1999)

Geometry & Topology

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Displaying similar documents to “Vanishing geodesic distance on spaces of submanifolds and diffeomorphisms.”

Infinitesimal conjugacies and Weil-Petersson metric

Submanifold geometry and Hessians on the pseudoriemannian manifold of metrics.

The nullity spaces of the curvature operator

Geodesics and curvature of semidirect product groups

On the Differentiability of a Distance Function

A characterization of the Grassmann manifold G p , 2 ( ℝ ) . Another review.

Piecewise Euclidean structures and Eberlein's rigidity theorem in the singular case.

A characterization of the Grassmann manifold $G_{p, 2} (ℝ)$ . Another review.