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arXiv · 1806.05644

Lower bounds for eigenvalues of Finsler manifolds

Zhongmin Shen·Lixia Yuan·Wei Zhao
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Abstract

In this paper, we study the spectrums of faithful dimension pairs on a closed Finsler manifold and obtain a Gromov type and a Buser type lower bounds for eigenvalues. Furthermore, for the Lusternik-Schnirelmann spectrum, we not only obtain a better lower bound, but also estimate the multiplicity of each eigenvalue.

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Zhongmin Shen, Lixia Yuan, Wei Zhao. 2018-06-14. Lower bounds for eigenvalues of Finsler manifolds. https://arxiv.org/abs/1806.05644

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