[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2002.39.1.133

MODULI OF SELF-DUAL METRICS ON COMPLEX HYPERBOLIC MANIFOLDS

Kim, Jaeman (Department of Mathematics, Sogang University)

Publication Information

Bulletin of the Korean Mathematical Society / v.39, no.1, 2002 , pp. 133-140 More about this Journal

Abstract

On compact complex hyperbolic manifolds of complex dimension two, we show that the dimension of the space of infinitesimal deformations of self-dual conformal structures is smaller than that of the deformation obstruction space and that every self-dual metric with covariantly constant Ricci tensor must be a standard one upto rescalings and diffeomorphisms.

Keywords

infinitesimal deformations; self-dual conformal structures; compact complex hyperbolic manifolds; deformation obstruction space; covariantly constant Ricci tensor;

Citations & Related Records

Reference

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