Displaying similar documents to “Riemannian metrics on 2D-manifolds related to the Euler−Poinsot rigid body motion”

Minimal surfaces in sub-Riemannian manifolds and structure of their singular sets in the case

Nataliya Shcherbakova (2008)

ESAIM: Control, Optimisation and Calculus of Variations

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We study minimal surfaces in sub-Riemannian manifolds with sub-Riemannian structures of co-rank one. These surfaces can be defined as the critical points of the so-called area functional associated with the canonical area form. We derive the intrinsic equation in the general case and then consider in greater detail -dimensional surfaces in contact manifolds of dimension . We show that in this case minimal surfaces are projections of a special class of -dimensional surfaces in the...

On complexity and motion planning for co-rank one sub-Riemannian metrics

Cutberto Romero-Meléndez, Jean Paul Gauthier, Felipe Monroy-Pérez (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper, we study the for generic sub-Riemannian metrics of co-rank one. We give explicit expressions for the metric complexity (in the sense of Jean [CITE]), in terms of the elementary invariants of the problem. We construct asymptotic optimal syntheses. It turns out that among the results we show, the most complicated case is the 3-dimensional. Besides the generic case, we study some non-generic generalizations in the analytic case.

Remarks on Riemannian Thermodynamics

Luigi G. Napolitano, Carlo Albanese (1992)

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

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The postulates of macroscopic thermodynamics give us the possibility to endow the set of thermodynamic states with the structure of a riemannian manifold. Two alternatives are available: the first one is to introduce on the set of thermodynamic equilibrium states a metric induced by an embedding metric space (extrinsic approach), the second one is to introduce the stability metric (intrinsic approach). Between the two choices the second one looks more promising on the basis of its capability...

A theorem for rigid motions in Post-Newtonian celestial mechanics.

J.M. Gambi, P. Zamorano, P. Romero, M.L. García del Pino (2003)

RACSAM

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The velocity field distribution for rigid motions in the Born?s sense applied to Post-Newtonian Relativistic Celestial Mechanics is examined together with its compatibility with the Newtonian distribution.

Metric minimizing surfaces.

Petrunin, Anton (1999)

Electronic Research Announcements of the American Mathematical Society [electronic only]

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