We study isometries in contact sub-pseudo-Riemannian geometry. In particular we give an upper bound on the dimension of the isometry group of a general sub-pseudo-Riemannian manifold and prove that the maximal dimension is attained for the left invariant structures on the Heisenberg group.
Accepté le :
DOI : 10.1051/cocv/2016072
Mots-clés : Contact structure, sub-Riemannian geometry, sub-Lorentzian geometry, Heisenberg group, isometry group, control-affine systems
@article{COCV_2017__23_4_1751_0,
author = {Grochowski, Marek and Kry\'nski, Wojciech},
title = {On contact {sub-pseudo-Riemannian} isometries},
journal = {ESAIM: Control, Optimisation and Calculus of Variations},
pages = {1751--1765},
publisher = {EDP-Sciences},
volume = {23},
number = {4},
year = {2017},
doi = {10.1051/cocv/2016072},
mrnumber = {3716939},
zbl = {1379.53044},
language = {en},
url = {http://archive.numdam.org/articles/10.1051/cocv/2016072/}
}
TY - JOUR AU - Grochowski, Marek AU - Kryński, Wojciech TI - On contact sub-pseudo-Riemannian isometries JO - ESAIM: Control, Optimisation and Calculus of Variations PY - 2017 SP - 1751 EP - 1765 VL - 23 IS - 4 PB - EDP-Sciences UR - http://archive.numdam.org/articles/10.1051/cocv/2016072/ DO - 10.1051/cocv/2016072 LA - en ID - COCV_2017__23_4_1751_0 ER -
%0 Journal Article %A Grochowski, Marek %A Kryński, Wojciech %T On contact sub-pseudo-Riemannian isometries %J ESAIM: Control, Optimisation and Calculus of Variations %D 2017 %P 1751-1765 %V 23 %N 4 %I EDP-Sciences %U http://archive.numdam.org/articles/10.1051/cocv/2016072/ %R 10.1051/cocv/2016072 %G en %F COCV_2017__23_4_1751_0
Grochowski, Marek; Kryński, Wojciech. On contact sub-pseudo-Riemannian isometries. ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 4, pp. 1751-1765. doi : 10.1051/cocv/2016072. http://archive.numdam.org/articles/10.1051/cocv/2016072/
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