On the manifold structure of the set of unparameterized embeddings with low regularity

Details On the manifold structure of the set of unparameterized embeddings with low regularity On the manifold structure of the set of unparameterized embeddings with low regularity

2010-11-23

arxiv.org/abs/1011.5075v2

Mathematics

Differential Geometry

To appear in the Bulletin of the Brazilian Mathematical Society

Scientific paper

Given manifolds $M$ and $N$, with $M$ compact, we study the geometrical
structure of the space of embeddings of $M$ into $N$, having less regularity
than $\mathcal C^\infty$, quotiented by the group of diffeomorphisms of $M$.

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