Local analytic transformations of smooth submanifolds of R^n
|What||Complex Analysis Seminar|
from 11:00 to 12:30
|Where||Seminarraum S1, Althanstrasse 12|
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Giuseppe della Sala
Abstract. Let M be a smooth submanifold of R^n. We say that M admits a local (real-analytic) automorphism around a point p if there exist an open neighborhood U of p and a real-analytic mapping F from U to R^n, whose differential at p is invertible, such that F(M) is contained in M. We are interested in the properties (mainly the topological ones) of the orbit of p under such transformations. Already interesting is the case of smooth real curves in the plane.