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arxiv: 1309.2115 · v2 · pith:YW27K7NQnew · submitted 2013-09-09 · 🧮 math.DG

Cheeger's constant and the first eigenvalue of a closed Finsler manifold

classification 🧮 math.DG
keywords cheegerclosedfinslerconstanteigenvaluefirstinequalitymanifolds
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In this paper, we consider Cheeger's constant and the first eigenvalue of the nonlinear Laplacian on closed Finsler manifolds. Being based on these, we establish Cheeger's inequality and Buser's inequality for closed Finsler manifolds.

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