Complex structures on tangent bundles of Riemannian manifolds (Q1191435)
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scientific article; zbMATH DE number 59963
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complex structures on tangent bundles of Riemannian manifolds |
scientific article; zbMATH DE number 59963 |
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Complex structures on tangent bundles of Riemannian manifolds (English)
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27 September 1992
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A ``complex structure'' on the tangent bundle of a (real) compact or complete Riemannian manifold is defined to be an integrable, almost complex tensor \(J\), \(J: T(TM)\to T(TM)\). The author proves several theorems about local and global existence of such a tensor. Local existence always holds; the obtstructions to global existence are identified.
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integrable almost complex tensor
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0.9445343
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