Bottom of spectrum of Kahler manifolds with strongly pseudoconvex boundary
classification
🧮 math.DG
keywords
boundarybottomgeometrykahlermanifoldspseudoconvexspectrumasymptotic
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We consider a class of complete Kahler manifolds with a strictly pseudoconvex boundary at infinity. After studying its asymptotic geometry, we formulate a conjecture in the Kahler-Einstein case relating the bottom of spectrum to the CR geometry on the boundary. We prove some partial results.
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