The lower bound of the Ricci curvature that yields the infinite number of the discrete spectrum of the Laplacian
classification
🧮 math.DG
math.SP
keywords
discreteinfinitespectrumborderline-behaviorboundcompletelycurvaturecurvatures
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This paper discusses the question whether the discrete spectrum of the Laplace-Beltrami operator is infinite or finite. The borderline-behavior of the curvatures for this problem will be completely determined.
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