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arXiv · 1606.08631

A generalization and short proof of a theorem of Hano on affine vector fields

Dávid Csaba Kertész·Rezső László Lovas
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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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Dávid Csaba Kertész, Rezső László Lovas. 2016-06-28. A generalization and short proof of a theorem of Hano on affine vector fields. https://arxiv.org/abs/1606.08631

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