Real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type (Q657308)
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scientific article; zbMATH DE number 5997914
| Language | Label | Description | Also known as |
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| English | Real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type |
scientific article; zbMATH DE number 5997914 |
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Real hypersurfaces in complex two-plane Grassmannians whose normal Jacobi operator is of Codazzi type (English)
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16 January 2012
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The authors prove that there does not exist any connected Hopf real hypersurface in complex two-plane Grassmannians \(G_2(\mathbb{C}^{m+ 2})\), \(m\geq 3\), whose normal Jacobi operator is of Codazzi type if the distribution \(D\) or the \(D^\perp\)-component of the Reeb vector field is invariant under the shape operator.
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real hypersurfaces
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complex two-plane Grassmannians
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normal Jacobi operator
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Codazzi type
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