科研之友
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摘要
A manifold with fibered cusp metrics X can be considered as a geometrical generalization of locally symmetric spaces of Q-rank one at infinity. We prove a Hodge-type theorem for this class of Riemannian manifolds, i.e. we find harmonic representatives of the de Rham cohomology H (p) (X). Similar to the situation of locally symmetric spaces, these representatives are computed by special values or residues of generalized eigenforms of the Hodge-Laplace operator on Omega (p) (X).
- 出版日期2011-4
