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Results in Mathematics

, Volume 36, Issue 3–4, pp 313–330 | Cite as

Submanifolds Of Maximal Nullity In Symmetric Spaces

  • Yury Nikolayevsky
Research article

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 F2 of nullity 1 in a totally geodesic submanifold N3M 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 Classification

53B25 53C35 53B20 53C30 

Key words and phrases

relative nullity symmetric space 

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Copyright information

© Birkhäuser Verlag, Basel 1999

Authors and Affiliations

  1. 1.Department of MathematicsLa Trobe UniversityBundooraAustralia

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