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

Bo-Yong Chen | Zendy

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

Author(s) -

Bo-Yong Chen

Publication year - 2006

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1166642154

Subject(s) - mathematics , pure mathematics , cohomology , hyperbolic space , manifold (fluid mechanics) , hyperbolic manifold , space (punctuation) , mathematical analysis , harmonic , curse of dimensionality , degree (music) , kähler manifold , hyperbolic function , physics , statistics , mechanical engineering , engineering , linguistics , philosophy , quantum mechanics , acoustics

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

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