A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ,μ)-spaces - Université Polytechnique des Hauts-de-France Access content directly
Journal Articles Annals of Global Analysis and Geometry Year : 2018

A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ,μ)-spaces

Abstract

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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Dates and versions

hal-03722206 , version 1 (13-07-2022)

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Alfonso Carriazo, Veronica Martin-Molina, Luc Vrancken. A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ,μ)-spaces. Annals of Global Analysis and Geometry, 2018, 54 (2), pp.173-185. ⟨10.1007/s10455-018-9597-1⟩. ⟨hal-03722206⟩
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