Some recent work in Frechet geometry

Details Some recent work in Frechet geometry Some recent work in Frechet geometry

2011-09-20

arxiv.org/abs/1109.4241v1

Mathematics

Differential Geometry

14 pages 48 references

Scientific paper

Some recent work in Frechet geometry is briefly reviewed. In particular an earlier result on the structure of second tangent bundles in the finite dimensional case was extended to infinite dimensional Banach manifolds and Frechet manifolds that could be represented as projective limits of Banach manifolds. This led to further results concerning the characterization of second tangent bundles and differential equations in the more general Frechet structure needed for applications. A summary is given of recent results on hypercyclicity of operators on Frechet spaces.

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