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Prof. Chiung-Jue Sung  ( National Tsing Hua University )

2008 - 05 - 01 (Thu.)
15:00 - 16:00
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.