Real hypersurfaces of a quaternionic hyperbolic space (Q2779065)
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scientific article; zbMATH DE number 1723924
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Real hypersurfaces of a quaternionic hyperbolic space |
scientific article; zbMATH DE number 1723924 |
Statements
7 January 2003
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quaternionic hyperbolic space
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real hypersurface
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Weingarten operator
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Real hypersurfaces of a quaternionic hyperbolic space (English)
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Let \(M\) be a real hypersurface of a quaternionic hyperbolic space \(\mathbb{Q}\mathbb{H}^m\) with complex structures \(\{J_1,J_2,J_3 \}\). Let \(N\) be the unit normal vector field of \(M\). The authors prove that if the Weingarten operator \(A\) is parallel with respect to \(J_1N, J_2N, J_3N\), then \(M\) is a tube.
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