Ricci curvature and conformality of Riemannian manifolds to spheres
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🧮 math.DG
keywords
conditionsconformalcurvaturemanifoldricciriemannianboundscertain
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In this paper we give bounds for the first eigenvalue of the conformal Laplacian and the Yamabe invariant of a compact Riemannian manifold, by using conditions on the Ricci curvature and the diameter and deduce certain conditions on the manifold to be conformal to a sphere.
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