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Isometric immersions
of H1n into H1n+1
Kinetsu Abe |
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Vol. 173 (1996), No. 1, 1–27
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Abstract |
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The complete codimension 1 totally geodesic laminations of the hyperquadrics of constant curvature 1 or −1 are completely determined. Also the set of all codimension 1 isometric immersions of a hyperquadric into another of the same constant curvature are determined and characterized in terms of the naturally associated totally geodesic laminations and the curvature of the laminations. Note that the hyperquadrics of constant curvature 1 and −1 are often called the de Sitter space-time and the anti de Sitter space-tmie, respectively. |
Mathematical Subject Classification 2000
Primary: 53C42
Secondary: 53C50
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Milestones
Received: 22 September 1993
Published: 1 March 1996
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Authors |
| Kinetsu Abe | |
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