On the first eigenvalue of the Hodge Laplacian of submanifolds
Abstract
CHRISTOS-RAENT ONTIWe prove that equality in a sharp lower bound for the first p-eigenvalue of the Hodge Laplacian on closed submanifolds in space forms can occur only on topological spheres, assuming positivity.
Fields of Study & Subjects
Geometry and complex manifolds
Geometric Analysis and Curvature Flows
Geometric and Algebraic Topology
Publication details
- Journal / source
- Pacific Journal of Mathematics
- Volume
- 342
- Issue
- 2
- Pages
- 381–385
- Publication date
- 23 April 2026
- Language
- EN