Abstract
Let M be a connected compact smooth Riemannian manifold, and let ∆ = − div(grad) its Laplacian operator of L 2(M). Its eigenvalues λ0 = 0 < λl(M) ≤ λ2(M) ≤ ··· form a discrete subset (with multiplicities) of ℝ+.
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© 1994 Springer Basel AG
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Lubotzky, A. (1994). The Laplacian and its Eigenvalues. In: Discrete Groups, Expanding Graphs and Invariant Measures. Modern Birkhäuser Classics. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0346-0332-4_4
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DOI: https://doi.org/10.1007/978-3-0346-0332-4_4
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0346-0331-7
Online ISBN: 978-3-0346-0332-4
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