A canonical hyperkaehler metric on the total space of a cotangent bundle

Abstract

A canonical hyperkaehler metric on the total space T*M of a cotangent bundle to a complex manifold M has been constructed recently by the author (see alg-geom/9710026). This paper presents the results of alg-geom/9710026 in a streamlined and simplified form. The only new result is an explicit formula obtained for the case when M is an Hermitian symmetric space.

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