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Quasiconformally instable disc bundles with complex structures

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Abstract

We discuss deformations and the quasiconformal instability of the Kähler geometry of disc bundles that are locally modeled on symmetric rank-one manifolds. The Kähler geometry of these manifolds is associated with natural complex or hypercomplex structures of pinched negative sectional curvature and infinite volume. Their fundamental groups are isomorphic to discrete subgroups of PU(n, 1), PSp(n, 1), or F −204 .

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Authors and Affiliations

  1. Department of Mathematics, University of Oklahoma, 660 Parrington Oval, Norman, OK, 73019, USA

    B. N. Apanasov

  2. Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, pr. akad. Koptyuga 4, Novosibirsk, 630090, Russia

    B. N. Apanasov

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  1. B. N. Apanasov
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Published in Russian in Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Vol. 252, pp. 18–30.

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Apanasov, B.N. Quasiconformally instable disc bundles with complex structures. Proc. Steklov Inst. Math. 252, 12–22 (2006). https://doi.org/10.1134/S0081543806010032

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