Eigenvalue estimate for the basic Laplacian on manifolds with foliated boundary. II

DOI10.1007/s00009-018-1111-2zbMath1432.53033OpenAlexW3022784741MaRDI QIDQ1635766

Roger Nakad, Georges Habib, Ola Makhoul, Fida El Chami

Publication date: 1 June 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1111-2

zbMATH Keywords

eigenvaluesecond fundamental formmanifolds with boundaryrigidity resultsbasic LaplacianO'Neill tensorRiemannian flowbasic Killing forms

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Rigidity results (53C24) Foliations (differential geometric aspects) (53C12) Boundary value problems on manifolds (58J32)

Related Items

Eigenvalue estimate for the basic Laplacian on manifolds with foliated boundary. II

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A sharp comparison theorem for compact manifolds with mean convex boundary
• Rigidity results for spin manifolds with foliated boundary
• A Reilly formula and eigenvalue estimates for differential forms
• Transverse conformal Killing forms and a Gallot-Meyer theorem for foliations
• Foliations on Riemannian manifolds
• Stability of the transversal Kählerian character
• Conformal Killing forms on Riemannian manifolds
• Eigenvalue estimate for the basic Laplacian on manifolds with foliated boundary. II
• Hodge decomposition. A method for solving boundary value problems
• Dirichlet to Neumann operator on differential forms
• The fundamental equations of a submersion
• On a Riemannian space admitting more than one Sasakian structures
• Foliated manifolds with bundle-like metrics
• The basic Laplacian of a Riemannian foliation