Relative nullity distributions, an affine immersion from an almost product manifold and a para-pluriharmonic isometric immersion (Q1759448)
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scientific article; zbMATH DE number 6109115
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Relative nullity distributions, an affine immersion from an almost product manifold and a para-pluriharmonic isometric immersion |
scientific article; zbMATH DE number 6109115 |
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Relative nullity distributions, an affine immersion from an almost product manifold and a para-pluriharmonic isometric immersion (English)
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20 November 2012
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The author considers an adjoint or skew-adjoint almost product structure on a smooth connected manifold and characterizes the affine immersions from this almost product manifold to an affine space in terms of its relative nullity distribution. In two cases, he states a cylinder theorem, namely, for an isometric hypersurface of an almost product manifold with a metric and for a para-pluriharmonic isometric hypersurface of a para-Kähler manifold.
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cylinder theorem
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relative nullity distribution
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almost product manifold
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para-complex manifold
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para-pluriharmonic map
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