Symmetry Algebra for multi-contact structures given by 2n vector fields on ℝ²ⁿ+¹

Title
Symmetry Algebra for multi-contact structures given by 2n vector fields on ℝ²ⁿ+¹
Publication Date
2008
Author(s)
Han, Chong-Kyu
Oh, Jong-Won
Schmalz, Gerd
( author )
OrcID: https://orcid.org/0000-0002-6141-9329
Email: schmalz@une.edu.au
UNE Id une-id:schmalz
Type of document
Journal Article
Language
en
Entity Type
Publication
Publisher
Springer
Place of publication
Germany
DOI
10.1007/s00208-007-0198-8
UNE publication id
une:3387
Abstract
In this paper we study the infinitesimal automorphisms of a multi-contact structure given by 2n vector fields on ℝ²ⁿ+¹. We prove that the Lie algebra of infinitesimal automorphisms has finite dimension (rigidity) and discuss a homogeneous model which has the largest algebra of infinitesimal automorphisms.
Link
Citation
Mathematische Annalen, 341(3), p. 529-542
ISSN
1432-1807
0025-5831
Start page
529
End page
542

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