Second order structures for sprays and connections on Frechet manifolds

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dc.creatorAghasi, M.
dc.creatorBahari, A. R.
dc.creatorDodson, C. T. J.
dc.creatorGalanis, G. N.
dc.creatorSuri, A.
dc.date2008-10-29
dc.date.accessioned2026-07-07T10:13:54Z
dc.date.available2026-07-07T10:13:54Z
dc.descriptionAmbrose, Palais and Singer \cite{Ambrose} introduced the concept of second order structures on finite dimensional manifolds. Kumar and Viswanath \cite{Kumar} extended these results to the category of Banach manifolds. In the present paper all of these results are generalized to a large class of Frechet manifolds. It is proved that the existence of Christoffel and Hessian structures, connections, sprays and dissections are equivalent on those Frechet manifolds which can be considered as projective limits of Banach manifolds. These concepts provide also an alternative way for the study of ordinary differential equations on non-Banach infinite dimensional manifolds. Concrete examples of the structures are provided using direct and flat connections.
dc.description18 pages, 32 references
dc.identifierhttps://arxiv.org/abs/0810.5261
dc.identifierhttp://arxiv.org/abs/0810.5261
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172693
dc.subjectDifferential Geometry
dc.subject58B25;58A05
dc.titleSecond order structures for sprays and connections on Frechet manifolds
dc.typetext

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