A Discrete Representation of the Second Fundamental Form
We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed in a Riemannian manifold based on the second fundamental form. We also present several results applying this new way of representation.
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/144796 |
| Acceso en línea: | https://hdl.handle.net/11441/144796 https://doi.org/10.3390/math10132279 |
| Access Level: | acceso abierto |
| Palabra clave: | geometry of submanifolds combinatorial structure second fundamental form totally umbilical submanifold minimal submanifold Lagrangian submanifold |
| Sumario: | We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed in a Riemannian manifold based on the second fundamental form. We also present several results applying this new way of representation. |
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