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<p>In this paper, we define the volume entropy and the second Cheeger constant on Finsler metric measure manifolds. Then we prove a Cheeger–Buser type inequality for the first eigenvalue of Finsler Laplacian by using the second Cheeger constant on Finsler metric measure manifolds with non-negative weighted Ricci curvature <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\textrm{Ric}_{\infty }\)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mtext>Ric</mtext> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation>.</p>

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A Cheeger–Buser type inequality for the first eigenvalue of Finsler Laplacian

  • 期刊论文

  • 发表日期：

    2026年4月13日

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  • Xinyue Cheng,
  • Yalu Feng,
  • Liulin Liu

摘要

In this paper, we define the volume entropy and the second Cheeger constant on Finsler metric measure manifolds. Then we prove a Cheeger–Buser type inequality for the first eigenvalue of Finsler Laplacian by using the second Cheeger constant on Finsler metric measure manifolds with non-negative weighted Ricci curvature \(\textrm{Ric}_{\infty }\) Ric ∞ .