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On a construction of complete simply-connected riemannian manifolds with negative curvature

Published online by Cambridge University Press:  22 January 2016

Haruo Kitahara
Affiliation:
Department of Mathematics Kanazawa University, Kanazawa, 920, Japan
Hajime Kawakami
Affiliation:
Department of Mathematics Kanazawa University, Kanazawa, 920, Japan
Jin Suk Pak
Affiliation:
Department of Mathematics Kyungpook National University, Taegu, 635, Korea
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Let M be a complete simply-connected riemannian manifold of even dimension m. J. Dodziuk and I.M. Singer ([D1]) have conjectured that H2p(M) = 0 if p ≠ m/2 and dim H2m/2(M) = ∞, where H2*(M) is the space of L2-harmonic forms on M.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1989

References

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