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 [3]. Even though our result is more general, the proof is significantly simpler.
Acknowledgments
The authors are grateful to Jóozsef Szilasi and Bernadett Aradi for their suggestions that improved the paper.
Citation
Dávid Csaba Kertész. Rezső L. Lovas*. "A generalization and short proof of a theorem of Hano on affine vector fields." SUT J. Math. 53 (2) 83 - 87, December 2017. https://doi.org/10.55937/sut/1520526263
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