Locally Compact Contractive Local Groups

Details Locally Compact Contractive Local Groups Locally Compact Contractive Local Groups

2009-09-24

arxiv.org/abs/0909.4565v2

Mathematics

Differential Geometry

10 pages

Scientific paper

We study locally compact contractive local groups, that is, locally compact local groups with a contractive pseudo-automorphism. We prove that if such an object is locally connected, then it is locally isomorphic to a Lie group. We also prove a related structure theorem for locally compact contractive local groups which are not necessarily locally connected. These results are local analogues of theorems for locally compact contractive groups.

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