Planar geodesic submanifolds in a quaternionic projective space (Q1102561)
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scientific article; zbMATH DE number 4050483
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Planar geodesic submanifolds in a quaternionic projective space |
scientific article; zbMATH DE number 4050483 |
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Planar geodesic submanifolds in a quaternionic projective space (English)
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1988
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In the present paper the totally real planar geodesic submanifolds of the quaternionic projective space QP(c) are classified. It is also proved that the only planar geodesic quaternionic CR-submanifolds of QP(c) are the invariant and totally real submanifolds. Finally, quaternionic CR- submanifolds are studied, whose geodesics are circles in QP(c).
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totally real planar geodesic submanifolds
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quaternionic projective space
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CR-submanifolds
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geodesics
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