A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ,μ)-spaces
Résumé
We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of (κ,μ)-spaces with Boeckx invariant I≤−1. In particular, we prove that such submanifolds must be, up to local isometries, among the examples that we explicitly construct
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