Estimates for the first non-zero eigenvalue of the Hodge Laplacian acting on differential forms defined on a Riemannian manifold

DOI10.1007/s13370-019-00727-7zbMath1463.58012OpenAlexW2984726152WikidataQ115375850 ScholiaQ115375850MaRDI QIDQ2307833

Moussa Kourouma, Wadja Guillaume Kouassy

Publication date: 25 March 2020

Published in: Afrika Matematika (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13370-019-00727-7

zbMATH Keywords

convexitydifferential formsinjectivity radiusregular domaineigenvalue estimatesHodge LaplacianJohn's ellipsoidparallel vector fieldsorthogonal section

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Differential forms in global analysis (58A10) Global Riemannian geometry, including pinching (53C20) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

• Unnamed Item
• Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne
• Hodge-Laplace eigenvalues of convex bodies
• Eigenvalue and gap estimates for the Laplacian acting on 𝑝-forms
• Riemannian geometry and geometric analysis

This page was built for publication: Estimates for the first non-zero eigenvalue of the Hodge Laplacian acting on differential forms defined on a Riemannian manifold