Eigenvalues of the Laplacian and extrinsic geometry

DOI10.1007/s10455-013-9379-8zbMath1287.58017arXiv1210.7714OpenAlexW2016218993MaRDI QIDQ2434958

Asma Hassannezhad

Publication date: 3 February 2014

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.7714

zbMATH Keywords

eigenvalueupper boundLaplacianintersection indexholomorphic submanifold of complex projective spaceperturbed intersection index

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Eigenvalue problems for linear operators (47A75) Complex manifolds (32Q99)

Cites Work

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• Upper bound for the first eigenvalue of algebraic submanifolds
• Stable bundles and the first eigenvalue of the Laplacian
• Inequalities for eigenvalues of Laplacian on domains and compact complex hypersurfaces in complex projective spaces
• Isoperimetric control of the spectrum of a compact hypersurface
• Bounding the eigenvalues of the Laplace-Beltrami operator on compact submanifolds
• Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds

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