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The sharp lower bound
for the first positive eigenvalue of the Folland–Stein
operator on a closed pseudohermitian (2n + 1)-manifold
Chin-Tung Wu |
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Vol. 263 (2013), No. 1, 241–252
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Abstract |
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In this paper, we obtain a sharp lower bound estimate for the first nonzero eigenvalue of the Folland–Stein operator ℒc, |c|≤ n, on a closed pseudohermitian (2n + 1)-manifold M. This generalizes the first nonzero eigenvalue estimates of the sublaplacian and Kohn Laplacian. |
Keywords
Folland–Stein operator, sublaplacian, Kohn Laplacian, CR
Paneitz operator, pseudohermitian manifold, pseudohermitian
Ricci curvature, pseudohermitian torsion
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Mathematical Subject Classification 2010
Primary: 32V05, 32V20
Secondary: 53C56
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Milestones
Received: 8 May 2011
Revised: 29 November 2012
Accepted: 1 April 2013
Published: 14 May 2013
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Authors |
| Chin-Tung Wu | |
| Department of Applied
Mathematics National Pingtung University of Education No. 4-18 Minsheng Rd Pingtung City 90003 Taiwan |
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