On the first eigenvalue of the Hodge Laplacian of submanifolds

We 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.

Authors

Christos-Raent Onti (ORCID: https://orcid.org/0000-0002-8096-7515)

Institutions

University of Cyprus (CY)

Publication Details

Journal: Pacific Journal of Mathematics
Published: 2026-04-23
DOI: https://doi.org/10.2140/pjm.2026.342.381
Primary Topic: Geometry and complex manifolds
Type: article
Field-Weighted Citation Impact: 0.00

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article

On the first eigenvalue of the Hodge Laplacian of submanifolds

Christos-Raent Onti

Apr 23, 2026

Pacific Journal of Mathematics

Geometry and complex manifolds

article

On the first eigenvalue of the Hodge Laplacian of submanifolds

Christos-Raent Onti

April 23, 2026article en

Abstract

We 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.

Pacific Journal of MathematicsVol. 342(2)

University of Cyprus (CY)

Openalex Percentile: Top 94%

Geometry and complex manifolds

DOI Open Access PDF OpenAlex

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On the first eigenvalue of the Hodge Laplacian of submanifolds — Christos-Raent Onti · Pacific Journal of Mathematics (2026) | TGRS Research Map | TGRS