Open Access
2006 Smooth Extensions and Spaces of Smooth and Holomorphic Mappings
Christoph Wockel
J. Geom. Symmetry Phys. 5: 118-126 (2006). DOI: 10.7546/jgsp-5-2006-118-126


In this paper we present a new notion of a smooth manifold with corners and relate it to the commonly used concept in the literature. We also introduce complex manifolds with corners show that if $M$ is a compact (respectively, complex) manifold with corners and $K$ is a smooth (respecti vely, complex) Lie group, then $C^{\infty}(M, K)$ (respectively, $\mathcal{O}(M, K)$) is a smooth (respectively, complex) Lie group.


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Christoph Wockel. "Smooth Extensions and Spaces of Smooth and Holomorphic Mappings." J. Geom. Symmetry Phys. 5 118 - 126, 2006.


Published: 2006
First available in Project Euclid: 20 May 2017

zbMATH: 1108.58006
MathSciNet: MR2269885
Digital Object Identifier: 10.7546/jgsp-5-2006-118-126

Rights: Copyright © 2006 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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