Normal forms in Cauchy-Riemann Geometry: a survey

2016/06/26 by Kolar, Martin, Kossovskiy, Ilya, Zaitsev, Dmitri
#Complex Variables (math.CV) #FOS: Mathematics

paper · doi:10.48550/arxiv.1606.08091

Abstract

One of effective ways to solve the equivalence problem and describe moduli spaces for real submanifolds in complex space is the normal form approach. In this survey, we outline some normal form constructions in CR-geometry and formulate a number of open problems.

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