R. Catenacci, C. Reina, Paolo Teofilatto
Abstract
The problem of constructing the body of a G∞ manifold is considered. It is shown that any such manifold is foliated, and the body is defined to be the space of the leaves of this foliation. Under certain regularity conditions on the foliation, the body is a smooth finite-dimensional real manifold.
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The problem of constructing the body of a G∞ manifold is considered. It is shown that any such manifold is foliated, and the body is defined to be the space of the leaves of this foliation. Under certain regularity conditions on the foliation, the body is a smooth finite-dimensional real manifold.
Key concepts: Foliation (geology), Manifold (fluid mechanics), Supermanifold, Mathematics, Pure mathematics, Closed manifold, Space (punctuation), Pseudo-Riemannian manifold