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The Laplace operator on the nth tensor power of a line bundle: eigenvalues which are uniformly bounded in n

Article type: Research Article

Authors: Guillemin, V. | Uribe, A.

Affiliations: Department of Mathematics, M.I.T., Cambridge, MA 02139, U.S.A. | Department of Mathematics, Princeton University, Princeton, NJ 08544, U.S.A.

Abstract: The ground-state eigenvalues of the Laplace operator on the nth tensor power of a line bundle are shown to have a simple asymptotic distribution as n tends to infinity provided the connection on the bundle is sufficiently twisted.

DOI: 10.3233/ASY-1988-1202

Journal: Asymptotic Analysis, vol. 1, no. 2, pp. 105-113, 1988

Received January 1988
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Published: 1988
Price: EUR 27.50
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