An alternative proof of lower bounds for the first eigenvalue on manifolds

DOI10.1002/mana.201600388zbMath1379.35206arXiv1605.07255OpenAlexW2963616059MaRDI QIDQ4598754

Yun-tao Zhang, Kui Wang

Publication date: 15 December 2017

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1605.07255

zbMATH Keywords

maximum principleRicci curvatureeigenfunctionseigenvalue estimates

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral theory; eigenvalue problems on manifolds (58C40)

Related Items (9)

Lower bounds for the first eigenvalue of 𝑝-Laplacian on Kähler manifolds ⋮ Eigenvalue estimates on quaternion-Kähler manifolds ⋮ Zhong-Yang type eigenvalue estimate with integral curvature condition ⋮ Lower bounds for the first eigenvalue of the \(p\)-Laplacian on quaternionic Kähler manifolds ⋮ Manifolds with bounded integral curvature and no positive eigenvalue lower bounds ⋮ Lower bounds for the first eigenvalue of the Laplacian on Kähler manifolds ⋮ First Robin eigenvalue of the \(p\)-Laplacian on Riemannian manifolds ⋮ Sharp lower bound for the first eigenvalue of the weighted \(p\)-Laplacian. I ⋮ Eigenvalue estimates for Kato-type Ricci curvature conditions

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