Submanifolds Of Maximal Nullity In Symmetric Spaces |
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| Authors: | Yury Nikolayevsky |
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| Institution: | 1. Department of Mathematics, La Trobe University, Bundoora, 3083, Victoria, Australia
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| Abstract: | A non-totally-geodesic submanifold of relative nullity n — 1 in a symmetric space M is a cylinder over one of the following submanifolds: a surface F 2 of nullity 1 in a totally geodesic submanifold N3 ? M locally isometric to S 2(c) × ? or H 2(c) × ?; a submanifold F k+1 spanned by a totally geodesic submanifold F k(c) of constant curvature moving by a special curve in the isometry group of M; a submanifold F k+l of nullity k in a flat totally geodesic submanifold of M; a curve. |
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