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

 

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Opened Access A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ, μ)-spaces
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Author: Carriazo Rubio, Alfonso
Martín Molina, Verónica
Vrancken, Luc
Department: Universidad de Sevilla. Departamento de Geometría y Topología
Date: 2018
Published in: Annals of Global Analysis and Geometry, 1-13.
Document type: Article
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.
Size: 186.4Kb
Format: PDF

URI: https://hdl.handle.net/11441/75189

DOI: 10.1007/s10455-018-9597-1

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