The Banach manifold $C^{k}(M,N)$

DOI10.1016/j.difgeo.2019.01.001zbMath1433.58012arXiv1802.07548OpenAlexW2963558818WikidataQ115355001 ScholiaQ115355001MaRDI QIDQ2414137

Johannes Wittmann

Publication date: 10 May 2019

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

Full work available at URL: https://arxiv.org/abs/1802.07548

zbMATH Keywords

exponential mapdifferentiable mappingssmooth Banach manifold

Mathematics Subject Classification ID

Differentiable maps on manifolds (58C25) Differentiability questions for infinite-dimensional manifolds (58B10) Topology of infinite-dimensional manifolds (57N20) Manifolds of mappings (58D15) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items

Positive factorizations of pseudoperiodic homeomorphisms, Lie groupoids of mappings taking values in a Lie groupoid, On the Morse-Bott property of analytic functions on Banach spaces with Łojasiewicz exponent one half, Carnot metrics, dynamics and local rigidity, Manifolds of mappings on Cartesian products

Cites Work

• Manifolds, tensor analysis, and applications.
• Geometry of manifolds of maps
• The inverse function theorem of Nash and Moser
• Smooth loop stacks of differentiable stacks and gerbes
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