Normal forms in Cauchy-Riemann geometry

KOLÁŘ, Martin, Ilya KOSSOVSKIY and Dmitri ZAITSEV. Normal forms in Cauchy-Riemann geometry. In Berhanu, S; Mir, N; Straube, EJ. ANALYSIS AND GEOMETRY IN SEVERAL COMPLEX VARIABLES. 681st ed. PROVIDENCE: AMER MATHEMATICAL SOC, 2017, p. 153-177. ISBN 978-1-4704-2255-4. Available from: https://dx.doi.org/10.1090/conm/681/13685.

Basic information

Original name

Normal forms in Cauchy-Riemann geometry

Authors

KOLÁŘ, Martin (203 Czech Republic, belonging to the institution), Ilya KOSSOVSKIY (643 Russian Federation, belonging to the institution) and Dmitri ZAITSEV (372 Ireland)

Edition

681. vyd. PROVIDENCE, ANALYSIS AND GEOMETRY IN SEVERAL COMPLEX VARIABLES, p. 153-177, 25 pp. 2017

Publisher

AMER MATHEMATICAL SOC

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Other information

Language

English

Type of outcome

Stať ve sborníku

Field of Study

10101 Pure mathematics

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

Publication form

printed version "print"

RIV identification code

RIV/00216224:14310/17:00100144

Organization unit

Faculty of Science

ISBN

978-1-4704-2255-4

DOI

http://dx.doi.org/10.1090/conm/681/13685

UT WoS

000401592500009

Keywords in English

Real hypersurfaces; finite type; polynomial models; CR manifolds; Automorphisms;

Tags

NZ, rivok

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Abstract

V originále

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.