Article
A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ, μ)-spaces
Author/s | Carriazo Rubio, Alfonso
Martín Molina, Verónica Vrancken, Luc |
Department | Universidad de Sevilla. Departamento de Geometría y Topología |
Publication Date | 2018 |
Deposit Date | 2018-05-28 |
Published in |
|
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, ... 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. |
Project ID. | MTM2014-52197-P
FQM-327 FQM-226 |
Citation | Carriazo Rubio, A., Martín Molina, V. y Vrancken, L. (2018). A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ, μ)-spaces. Annals of Global Analysis and Geometry, 1-13. |
Files | Size | Format | View | Description |
---|---|---|---|---|
A classification of totally ... | 186.4Kb | [PDF] | View/ | |