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arxiv: math/0011256 · v1 · submitted 2000-11-30 · 🧮 math.AG · math.DG

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

classification 🧮 math.AG math.DG
keywords spacealg-geombundlecanonicalcotangenthyperkaehlermetrictotal
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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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