Lefschetz decompositions for eigenforms on a Kähler manifold

DOI10.1090/PROC/14006zbMath1384.58018arXiv1708.02930OpenAlexW2962990027MaRDI QIDQ4604703

Donu Arapura

Publication date: 5 March 2018

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.02930

zbMATH Keywords

Hodge decompositionLaplacianeigenspaceLefschetz decomposition

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Transcendental methods, Hodge theory (algebro-geometric aspects) (14C30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the spectrum of geometric operators on Kähler manifolds
• On the gap between the first eigenvalues of the Laplacian on functions and \(p\)-forms
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Eigenvalue and gap estimates for the Laplacian acting on 𝑝-forms
• On the gap between the first eigenvalues of the Laplacian on functions and 1-forms

This page was built for publication: Lefschetz decompositions for eigenforms on a Kähler manifold