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

Chong-Kyu Han; Jong-Won Oh; Gerd Schmalz

doi:10.1007/s00208-007-0198-8

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

Chong-Kyu Han
, Jong-Won Oh
, Gerd Schmalz

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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.

Original language	English
Pages (from-to)	529-542
Journal	Mathematische Annalen
Volume	341
Issue number	3
DOIs	https://doi.org/10.1007/s00208-007-0198-8
Publication status	Published - 2008

Keywords

Real and Complex Functions (incl Several Variables)

Access to Document

10.1007/s00208-007-0198-8

https://hdl.handle.net/1959.11/3300

Handle.net

Persistent link

Cite this

@article{2236d8d5d1984088992400278c8ee409,

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

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.",

keywords = "Real and Complex Functions (incl Several Variables)",

author = "Chong-Kyu Han and Jong-Won Oh and Gerd Schmalz",

year = "2008",

doi = "10.1007/s00208-007-0198-8",

language = "English",

volume = "341",

pages = "529--542",

journal = "Mathematische Annalen",

issn = "0025-5831",

publisher = "Springer",

number = "3",

}

TY - JOUR

T1 - Symmetry Algebra for multi-contact structures given by 2n vector fields on ℝ²ⁿ+¹

AU - Han, Chong-Kyu

AU - Oh, Jong-Won

AU - Schmalz, Gerd

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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.

KW - Real and Complex Functions (incl Several Variables)

U2 - 10.1007/s00208-007-0198-8

DO - 10.1007/s00208-007-0198-8

M3 - Article

SN - 0025-5831

VL - 341

SP - 529

EP - 542

JO - Mathematische Annalen

JF - Mathematische Annalen

IS - 3

ER -

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

Abstract

Keywords

Access to Document

Handle.net

Fingerprint

Cite this