Manifolds of Maps in Riemannian Foliations |
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| Authors: | E. Macias-Virgós E. Sanmartín Carbón |
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| Affiliation: | (1) Dpto. Xeometria e Topoloxia, Fac. Matemáticas, Univ. de Santiago de Compostela, 15706 Galicia, Spain;(2) Dpto. Matemáticas, Fac. CC. Económicas e Empresariais, Univ. de Vigo, 36207 Galicia, Spain |
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| Abstract: | Let (M ,F) and (M,F) be two (compact or not) foliated manifolds, C F(M, M) the space of smooth maps which send leaves into leaves. In this paper we prove that CF(M, M) admits a structure of an infinite-dimensional manifold modeled on LF-spaces, provided that F is a Riemannian foliation or, more generally, when it admits an adapted local addition. |
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| Keywords: | Riemannian foliation local addition LF-space infinite-dimensional manifold |
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