Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings

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dc.creatorBertram, Wolfgang
dc.date2005-02-08
dc.date2006-12-08
dc.date.accessioned2026-07-07T06:39:25Z
dc.date.available2026-07-07T06:39:25Z
dc.descriptionThe aim of this work is to lay the foundations of differential geometry and Lie theory over the general class of topological base fields and -rings for which a differential calculus has been developed in recent work (collaboration with H. Gloeckner and K.-H. Neeb), without any restriction on the dimension or on the characteristic. Two basic features distinguish our approach from the classical real (finite or infinite dimensional) theory, namely the interpretation of tangent- and jet functors as functors of scalar extensions and the introduction of multilinear bundles and multilinear connections which generalize the concept of vector bundles and linear connections.
dc.description202 + x pages Memoirs of the AMS, to appear
dc.identifierhttps://arxiv.org/abs/math/0502168
dc.identifierhttp://arxiv.org/abs/math/0502168
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101068
dc.subjectDifferential Geometry
dc.subject22E65, 53B05, 53C35, 58A05, 58A20, 53B05, 58A32
dc.titleDifferential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings
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