Inﬁnite Dimensionality of the Middle $L^2$-cohomology on Non-compact Kähler Hyperbolic Manifolds

Bo-Yong Chen

doi:10.2977/prims/1166642154

JournalsprimsVol. 42, No. 3pp. 683–689

Inﬁnite Dimensionality of the Middle $L^{2}$ -cohomology on Non-compact Kähler Hyperbolic Manifolds

Bo-Yong Chen
Tongji University, Shanghai, China

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Abstract

We prove that the space of $L^{2}$ harmonic forms of middle degree is inﬁnite dimensional on any non-compact Kähler hyperbolic manifold.

Cite this article

Bo-Yong Chen, Inﬁnite Dimensionality of the Middle $L^{2}$ -cohomology on Non-compact Kähler Hyperbolic Manifolds. Publ. Res. Inst. Math. Sci. 42 (2006), no. 3, pp. 683–689

DOI 10.2977/PRIMS/1166642154