Submanifolds Of Maximal Nullity In Symmetric Spaces
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 F2 of nullity 1 in a totally geodesic submanifold N3 ⊂ M locally isometric to S2(c) × ℝ or H2(c) × ℝ; a submanifold Fk+1 spanned by a totally geodesic submanifold Fk(c) of constant curvature moving by a special curve in the isometry group of M; a submanifold Fk+l of nullity k in a flat totally geodesic submanifold of M; a curve.
1991 Mathematics Subject Classification53B25 53C35 53B20 53C30
Key words and phrasesrelative nullity symmetric space
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