Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Classification of homogeneous CR-manifolds in dimension 4

Date

Authors

Beloshapka, V.K.

Kossovskiy, Ilya

Publisher

Academic Press

Abstract

Locally homogeneous CR-manifolds in dimension 3 were classified, up to local CR-equivalence, by E. Cartan. We classify, up to local CR-equivalence, all locally homogeneous CR-manifolds in dimension 4. The classification theorem enables us also to classify all symmetric CR-manifolds in dimension 4, up to local CR-equivalence.

Keywords

Keywords: Automorphism groups of CR-manifolds; CR-geometry; Homogeneous CR-manifolds; Model manifolds

URI

http://hdl.handle.net/1885/65010

Collections

ANU Research Publications

Source

Journal of Mathematical Analysis and Applications

Type

Journal article

DOI

10.1016/j.jmaa.2010.07.008

Restricted until

2037-12-31

Downloads

File

Description

01_Beloshapka_Classification_of_homogeneous_2011.pdf (372.42 KB)