JournalsprimsVol. 42 , No. 3DOI 10.2977/prims/1166642154

Infinite Dimensionality of the Middle <em>L</em><sup>2</sup>-cohomology on Non-compact Kähler Hyperbolic Manifolds

  • Bo-Yong Chen

    Tongji University, Shanghai, China
Infinite Dimensionality of the Middle <em>L</em><sup>2</sup>-cohomology on Non-compact Kähler Hyperbolic Manifolds cover

Abstract

We prove that the space of _L_2 harmonic forms of middle degree is infinite dimensional on any non-compact Kähler hyperbolic manifold.