arXiv Open Access 2025

Payne-Pólya-Weinberger inequalities on closed Riemannian manifolds

Mehdi Eddaoudi

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Abstrak

Payne-Pólya-Weinberger inequalities are known to be exclusive to bounded Euclidean domains with Dirichlet boundary condition. In this paper, we discuss the corresponding inequalities on Riemannian manifolds of dimension $n \geq3$, and we prove explicit bounds in terms of geometric quantities such as scalar curvature, Yamabe constant, isoperimetric constant and conformal volume.

Topik & Kata Kunci

math.SP math-ph math.DG

Penulis (1)

Mehdi Eddaoudi

Format Sitasi

APA MLA BibTeX

Eddaoudi, M. (2025). Payne-Pólya-Weinberger inequalities on closed Riemannian manifolds. https://arxiv.org/abs/2503.20181

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓