A classification of totally geodesic and totally umbilical Legendrian submanifolds of (κ, μ)-spaces
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.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2018 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/75189 |
| Acceso en línea: | https://hdl.handle.net/11441/75189 https://doi.org/10.1007/s10455-018-9597-1 |
| Access Level: | acceso abierto |
| Palabra clave: | (κ, µ)-space Legendrian submanifold Totally geodesic Totally umbilical |
| Sumario: | 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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