The First Steklov Eigenvalue on Manifolds with Non-negative Ricci Curvature and Convex Boundary
Abstract We establish a new lower bound for the first non-zero Steklov eigenvalue of a compact Riemannian manifold with non-negative Ricci curvature and (strictly) convex boundary. Related results are also obtained under weaker geometric hypotheses.
Authors
- Jonah A. J. Duncan (ORCID: https://orcid.org/0000-0002-6095-4055)
- Aditya Kumar (ORCID: https://orcid.org/0009-0008-9378-6503)
Institutions
- Johns Hopkins University (US)
- University College London (GB)
Publication Details
- Journal
- Journal of Geometric Analysis
- Published
- 2025-02-12
- DOI
- https://doi.org/10.1007/s12220-025-01929-1
- Citations
- 1
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 3.73