Aspects of the theory of infinite dimensional manifolds

DOI10.1016/0926-2245(91)90029-9zbMath0782.58011arXivmath/9202206OpenAlexW2036933951WikidataQ62597195 ScholiaQ62597195MaRDI QIDQ1311954

Andreas Kriegl, Peter W. Michor

Publication date: 21 January 1994

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9202206

zbMATH Keywords

Lie groupsholomorphic mappingsGrassmann manifoldssmooth mappingsdiffeomorphism groupsinfinite dimensionmanifolds of mappingsreal analytic mappings

Mathematics Subject Classification ID

Differentiability questions for infinite-dimensional manifolds (58B10) Manifolds of mappings (58D15)

Related Items (10)

Continuous dependence on the initial data in the Kadison transitivity theorem and GNS construction ⋮ On a new differential geometric setting in nonlinear control ⋮ Computing distances and geodesics between manifold-valued curves in the SRV framework ⋮ More on the Frölicher-Nijenhuis bracket in noncommutative differential geometry ⋮ The automorphism groups of foliations with transverse linear connection ⋮ On \(\mathbb{Z}\)-gradations of twisted loop Lie algebras of complex simple Lie algebras ⋮ ABELIAN TODA SOLITONS REVISITED ⋮ Solving non-Abelian loop Toda equations ⋮ On differential structure for projective limits of manifolds ⋮ Hamilton-Jacobi theory in Cauchy data space

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