A comparison theorem for eigenvalues of the covariant Laplacian

DOI10.1016/0022-1236(90)90017-FzbMath0716.58030MaRDI QIDQ753228

Ichiro Shigekawa, Shojiro Manabe

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

eigenvaluesRiemannian manifoldvector bundleconnectionminimax principlecovariant Laplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

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Cites Work

• Lectures on stochastic differential equations and Malliavin calculus
• Eigenvalue problems for the Schrödinger operator with the magnetic field on a compact Riemann manifold
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