A generalization and short proof of a theorem of Hano on affine vector fields
Differential Geometry
2016-06-29 v1
Abstract
We prove that a bounded affine vector field on a complete Finsler manifold is a Killing vector field. This generalizes the analogous result of Hano for Riemannian manifolds. Even though our result is more general, the proof is significantly simpler.
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Cite
@article{arxiv.1606.08631,
title = {A generalization and short proof of a theorem of Hano on affine vector fields},
author = {Dávid Csaba Kertész and Rezső László Lovas},
journal= {arXiv preprint arXiv:1606.08631},
year = {2016}
}
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3 pages