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On the first
eigenvalue of the Hodge Laplacian of submanifolds
Christos-Raent Onti |
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Vol. 342 (2026), No. 2, 381–385
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Abstract |
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We prove that equality in a sharp lower bound for the first -eigenvalue of the Hodge Laplacian on closed submanifolds in space forms can occur only on topological spheres, assuming positivity. |
Keywords
Hodge Laplacian, first eigenvalue, isometric immersion
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Mathematical Subject Classification
Primary: 53C40, 53C42
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Milestones
Received: 16 September 2025
Revised: 21 November 2025
Accepted: 25 February 2026
Published: 23 April 2026
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Authors |
| Christos-Raent Onti | |
| Department of Mathematics and
Statistics University of Cyprus Nicosia Cyprus |
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| © 2026 MSP (Mathematical Sciences Publishers). Distributed under the Creative Commons Attribution License 4.0 (CC BY). |
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