A classification of totally geodesic and totally umbilical Legendrian submanifolds of (kappa,μ)-spaces
classification
🧮 math.DG
keywords
totallysubmanifoldsgeodesickappalegendrianspacesumbilicalboeckx
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We present classifications of totally geodesic and totally umbilical Legendrian submanifolds of $(\kappa,\mu)$-spaces with Boeckx invariant $I \leq -1$. In particular, we prove that such submanifolds must be, up to local isometries, among the examples that we explicitly construct.
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