On contact sub-pseudo-Riemannian isometries

On contact sub-pseudo-Riemannian isometries

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.

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Veröffentlicht in:ESAIM. Control, optimisation and calculus of variations optimisation and calculus of variations, 2017-10, Vol.23 (4), p.1751-1765
Hauptverfasser: Grochowski, Marek, Kryński, Wojciech
Format: Artikel
Sprache:eng
Schlagworte:
34H05
53C17
Contact structure
control-affine systems
Heisenberg group
isometry group
Riemann manifold
sub-Lorentzian geometry
sub-Riemannian geometry
Upper bounds
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Zusammenfassung: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.
ISSN:1292-8119
1262-3377
DOI:10.1051/cocv/2016072