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http://cimat.repositorioinstitucional.mx/jspui/handle/1008/886| Orthogonal almost-complex structures of minimal energy | |
| LUIS HERNANDEZ LAMONEDA | |
| Acceso Abierto | |
| Atribución-NoComercial-CompartirIgual | |
| G-Estructuras | |
| In this article we apply a Bochner type formula to show that on a compact conformally flat riemannian manifold (or half-conformally flat in dimension 4) certain types of orthogonal almost-complex structures, if they exist, give the absolute minimum for the energy functional. We give a few examples when such minimizers exist, and in particular, we prove that the standard almost-complex structure on the round S6 gives the absolute minimum for the energy. We also discuss the uniqueness of this minimum and the extension of these results to other orthogonal G-structures. | |
| 2007 | |
| Artículo | |
| Inglés | |
| Investigadores | |
| GEOMETRÍA DIFERENCIAL | |
| Versión publicada | |
| publishedVersion - Versión publicada | |
| Aparece en las colecciones: | Matemáticas |
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| LHernandez2.pdf | 187.95 kB | Adobe PDF | Visualizar/Abrir |