We prove that on a compact contact manifold there are no infinitesimal contact automorphisms, apart from the scalar multiples of the Reeb vector field, provided the manifold carries an admissible Riemannian metric whose Jacobi operator is negative definite on the contact subbundle.
A Bochner like theorem about infinitesimal contact automorphisms
Lotta
2024-01-01
Abstract
We prove that on a compact contact manifold there are no infinitesimal contact automorphisms, apart from the scalar multiples of the Reeb vector field, provided the manifold carries an admissible Riemannian metric whose Jacobi operator is negative definite on the contact subbundle.File in questo prodotto:
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