Smooth Extensions and Spaces of Smooth and Holomorphic Mappings
Wockel, Christoph
arXiv, 0511064 / Harvested from arXiv
Text on arXiv
In this paper we present another notion of a smooth manifold with corners and relate it to the commonly used concept in the literature. Afterwards we introduce complex manifolds with corners and show that if $M$ is a compact (respectively complex) manifold with corners and $K$ is a smooth (respectively complex) Lie group, then $C^{\infty}(M,K)$ (respectively $C^{\infty}_{\C}(M,K)$) is a smooth (respectively complex) Lie group.
Publié le : 2005-11-02
Classification:  Mathematics - Differential Geometry,  Mathematical Physics,  22E65 (Primary), 58A05 (Secondary) 
@article{0511064,
     author = {Wockel, Christoph},
     title = {Smooth Extensions and Spaces of Smooth and Holomorphic Mappings},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0511064}
}

Wockel, Christoph. Smooth Extensions and Spaces of Smooth and Holomorphic Mappings. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0511064/