On contact sub-pseudo-Riemannian isometries
Grochowski, Marek1 ; Kryński, Wojciech2
1 Faculty of Mathematics and Natural Sciences, Cardinal Wyszyński University, 01-938 Warszawa, Poland.
2 Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-656 Warszawa, Poland.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 23 (2017) no. 4, pp. 1751-1765.

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.

Reçu le :
Accepté le :
DOI : 10.1051/cocv/2016072
Classification : 53C17, 34H05
Mots-clés : Contact structure, sub-Riemannian geometry, sub-Lorentzian geometry, Heisenberg group, isometry group, control-affine systems
Grochowski, Marek 1 ; Kryński, Wojciech 2

1 Faculty of Mathematics and Natural Sciences, Cardinal Wyszyński University, 01-938 Warszawa, Poland.
2 Institute of Mathematics, Polish Academy of Sciences, ul. Śniadeckich 8, 00-656 Warszawa, Poland. 
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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://www.numdam.org/articles/10.1051/cocv/2016072/

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