Paraquaternionic projective space and pseudo-Riemannian geometry (Q2774610)
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scientific article; zbMATH DE number 1711080
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Paraquaternionic projective space and pseudo-Riemannian geometry |
scientific article; zbMATH DE number 1711080 |
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26 February 2002
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0.9033558
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0.89385015
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0.89370656
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0.8922517
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Paraquaternionic projective space and pseudo-Riemannian geometry (English)
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The author has given a natural and geometrical definition of projective space based on the algebra of paraquaternionic numbers. Using the technique of pseudo-Riemannian submersions, he has determined the curvature of the paraquaternionic projective space. Moreover, the properties of this curvature are investigated. Using the result of O'Neill he has determined the sectional curvature of this space. He has proved that it has constant paraquaternionic sectional curvature and unbounded sectional curvature. Some other properties of the paraquaternionic projective spaces are also studied.
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