First eigenvalue of the $p$-Laplacian on Kähler manifolds
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- by Casey Blacker and Shoo Seto PDF
- Proc. Amer. Math. Soc. 147 (2019), 2197-2206 Request permission
Abstract:
We prove a Lichnerowicz-type lower bound for the first nontrivial eigenvalue of the $p$-Laplacian on Kähler manifolds. Parallel to the $p=2$ case, the first eigenvalue lower bound is improved by using a decomposition of the Hessian on Kähler manifolds with positive Ricci curvature.References
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Additional Information
- Casey Blacker
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- Email: cblacker@ucsb.edu
- Shoo Seto
- Affiliation: Department of Mathematics, University of California, Santa Barbara, California 93106
- Email: shoseto@ucsb.edu
- Received by editor(s): April 29, 2018
- Received by editor(s) in revised form: September 10, 2018
- Published electronically: January 18, 2019
- Additional Notes: This work was partially supported by a Simons Travel Grant
- Communicated by: Guofang Wei
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 2197-2206
- MSC (2010): Primary 53C55, 58C40
- DOI: https://doi.org/10.1090/proc/14395
- MathSciNet review: 3937693