A Lower Bound of the First Eigenvalue of a Closed Manifold with Negative Lower Bound of the Ricci Curvature

Details A Lower Bound of the First Eigenvalue of a Closed Manifold with Negative Lower Bound of the Ricci Curvature A Lower Bound of the First Eigenvalue of a Closed Manifold with Negative Lower Bound of the Ricci Curvature

2004-06-28

arxiv.org/abs/math/0406562v3

Mathematics

Differential Geometry

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Scientific paper

Along the line of the Yang Conjecture, we give a new estimate on the lower
bound of the first non-zero eigenvalue of a closed Riemannian manifold with
negative lower bound of Ricci curvature in terms of the in-diameter and the
lower bound of Ricci curvature.

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