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Co-isotropic submanifolds of a para-cokählerian manifold with concircular structure vector field - MaRDI portal

Co-isotropic submanifolds of a para-cokählerian manifold with concircular structure vector field (Q1066483)

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scientific article; zbMATH DE number 3925751
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English
Co-isotropic submanifolds of a para-cokählerian manifold with concircular structure vector field
scientific article; zbMATH DE number 3925751

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    Co-isotropic submanifolds of a para-cokählerian manifold with concircular structure vector field (English)
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    1985
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    The authors study the concept of CR-submanifold in a para-cokählerian manifold [see the authors, C. R. Acad. Sci., Paris, Sér. A 285, 723-726 (1977; Zbl 0371.53046)]. Here they prove that any co-isotropic submanifold of a para-cokählerian manifold has two CR-structures and then they obtain results on the geometry of the distributions involved in the definition of a CR-submanifold. Special attention is paid to the case of an improper immersion of a co-isotropic submanifold into a para- cokählerian manifold with a concircular structure vector field.
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    co-isotropic submanifold
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    para-cokählerian manifold
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    CR-submanifold
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