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.
Acknowledgment
The author is grateful to the anonymous referee for carefully reading the manuscript and providing several suggestions helping to improve the presentation of the paper.
Citation
Antonio LOTTA. "A Bochner like theorem about infinitesimal contact automorphisms." Hokkaido Math. J. 53 (1) 91 - 98, February 2024. https://doi.org/10.14492/hokmj/2022-623
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