TalksHarmonic forms and Weight Poincar\'{e} inequality
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We prove a finiteness theorem of harmonic $p$ forms, if the inequalities of the curvature operator and of the weighted Poincar\'{e} function are valid only outside a compact subset of complete manifold M. A vanishing type theorem of harmonic $p$ forms also holds on a similar class of manifolds.
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Chiung-Jue Sung
2008-05-01
15:00:00 - 16:00:00
308 , Mathematics Research Center Building (ori. New Math. Bldg.)
We prove a finiteness theorem of harmonic $p$ forms, if the inequalities of the curvature operator and of the weighted Poincar\'{e} function are valid only outside a compact subset of complete manifold M. A vanishing type theorem of harmonic $p$ forms also holds on a similar class of manifolds.