Deformational Structures on Smooth Manifolds

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dc.creatorKokarev, Sergey S.
dc.date2002-11-02
dc.date.accessioned2026-07-07T10:13:57Z
dc.date.available2026-07-07T10:13:57Z
dc.descriptionDeformational structures, in many aspects generalizing standard elasticity theory, are investigated in abstract form. Within free deformational structures we define algebra of deformations, classify them by its special properties, define motions and conformal motions together with deformational decomposition of manifolds, generalizing isometry of Riemannian spaces and consider some physical examples. In frame of dynamical deformational structures we formulate variational procedure for evolutional and static cases together with boundary conditions, derive dynamical (equilibrium in static case) equations, consider perturbative approach and perform deformational realization of the well known classical field-theoretical topics: strings and branes theories, classical mechanics of solids, gravity and Maxwell electrodynamics.
dc.descriptionThis is developed variant of talk, given at the 5-th ICGA conference (Russia,Moscow, October 2001). To be published in Acta Phys. Polonica 2002-2003; Latex2e, 31 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0211004
dc.identifierhttp://arxiv.org/abs/math-ph/0211004
dc.identifierTrends of Mathematical Physics (2004), pp. 113-154, ed. by C.V.Benton, Nova Science Publisher, New York
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172717
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectDifferential Geometry
dc.titleDeformational Structures on Smooth Manifolds
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