On the essential spectrum of complete non-compact manifolds |
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| Authors: | Zhiqin Lu Detang Zhou |
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| Institution: | a Department of Mathematics, University of California, Irvine, CA 92697, USA
b Instituto de Matematica, Universidade Federal Fluminense, Niterói, RJ 24020, Brazil |
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| Abstract: | In this paper, we prove that the Lp essential spectra of the Laplacian on functions are 0,+∞) on a non-compact complete Riemannian manifold with non-negative Ricci curvature at infinity. The similar method applies to gradient shrinking Ricci soliton, which is similar to non-compact manifold with non-negative Ricci curvature in many ways. |
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| Keywords: | Essential spectrum Shrinking soliton |
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