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The first nonzero
eigenvalue of the $p$-Laplacian on differential forms
Shoo Seto |
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Vol. 309 (2020), No. 1, 213–222
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DOI: 10.2140/pjm.2020.309.213
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Abstract |
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We introduce a generalization of the -Laplace operator to act on differential forms and generalize an estimate of Gallot and Meyer (1973) for the first nonzero eigenvalue on closed Riemannian manifolds. |
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Keywords
differential forms, Hodge Laplacian, $p$-Laplacian,
Weitzenböck curvature
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Mathematical Subject Classification 2010
Primary: 47J10, 53C65
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Milestones
Received: 2 April 2019
Revised: 19 December 2019
Accepted: 29 June 2020
Published: 26 December 2020
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Authors |
| Shoo Seto | |
| Department of Mathematics California State University, Fullerton Fullerton, CA United States |
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