Abstract
Let X denote an open metrizable C∞ manifold without boundary. To each Riemannian metric on X, there corresponds a number of invariant objects. Two obvious invariants are the Laplace—Beltrami operator L and the volume measure dx. The operator — L acting on L2(X) is a non-negative operator and has a non-negative lower bound λo to its spectrum. It is known (cf. Sullivan [S4], Taylor [T3, p. 131]) that, for λ ≤ λ 0, the operator L + λ Id has positive global solutions.
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© 1998 Birkhäuser Boston
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Guivarc’h, Y., Ji, L., Taylor, J.C. (1998). Introduction. In: Compactification of Symmetric Spaces. Progress in Mathematics, vol 156. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-2452-5_1
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DOI: https://doi.org/10.1007/978-1-4612-2452-5_1
Publisher Name: Birkhäuser Boston
Print ISBN: 978-1-4612-7542-8
Online ISBN: 978-1-4612-2452-5
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