We study the Riemannian geometry of contact manifolds with respect to a fixed admissible metric, making the Reeb vector field unitary and orthogonal to the contact distribution, under the assumption that the Levi-Tanaka form is parallel with respect to a canonical connection with torsion.

Levi-parallel contact Riemannian manifolds

DILEO, GIULIA;LOTTA, Antonio
2013-01-01

Abstract

We study the Riemannian geometry of contact manifolds with respect to a fixed admissible metric, making the Reeb vector field unitary and orthogonal to the contact distribution, under the assumption that the Levi-Tanaka form is parallel with respect to a canonical connection with torsion.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/115041
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