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Connections on the cotangent bundle of an almost complex manifold. (English) Zbl 1249.32021

Summary: Covariant and contravariant connections on the cotangent bundle of an almost complex manifold are considered and some properties are established. The cases of Kähler and special Kähler manifolds are discussed.

MSC:

32Q60 Almost complex manifolds
53C05 Connections (general theory)
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
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