Eigenvalue estimate for the Laplace operator on Finsler manifold with weighted Ricci curvature

Hajiaghasi, Sakineh; Azami, Shahroud

doi:10.22098/jfga.2025.15867.1137

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	Eigenvalue estimate for the Laplace operator on Finsler manifold with weighted Ricci curvature
Journal of Finsler Geometry and its Applications
دوره 6، شماره 1، 2025، صفحه 36-47 اصل مقاله (317.3 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2025.15867.1137
نویسندگان
Sakineh Hajiaghasi^* ¹؛ Shahroud Azami²
¹Department of pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
²Department of pure mathematics, Faculty of sciences, Imam Khomeini International University, Qazvin, Iran.
چکیده
In this paper, we study about the rst eigenvalue of the bi-Laplace operator on Finsler manifolds. Considering a bounded weighted Ricci curvature on a complete Finsler manifold, we obtain an upper bound for the first eigenvalues of Buckling and Clamped plate problems related with the first eigenvalue of the laplace operator.
کلیدواژه‌ها
Eigenvalue problem؛ Finsler manifold؛ Weighted Ricci curvature

مراجع
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Eigenvalue estimate for the Laplace operator on Finsler manifold with weighted Ricci curvature