Identificador persistente para citar o vincular este elemento:
http://hdl.handle.net/10662/3317
Títulos: | Constant Jacobi osculating rank of U(3)/(U(1) x U(1) x U(1)) -- Appendix-- |
Autores/as: | Arias-Marco, Teresa |
Palabras clave: | Operador de Jacobi;Espacios homogéneos reductivos;Espacios naturalmente reductivos;Reductive homogeneous spaces;Naturally reductive space;Jacobi operator |
Fecha de publicación: | 2010-01 |
Resumen: | Este es el apéndice del documento [T. Arias-Marco, Constant Jacobi osculating rank of U(3)/(U(1) × U(1) × U(1)), Arch. Math. (Brno) 45 (2009), 241–254] This is the appendix of the paper [T. Arias-Marco, Constant Jacobi osculating rank of U(3)/(U(1) × U(1) × U(1)), Arch. Math. (Brno) 45 (2009), 241–254] where we obtain an interesting relation between the co-variant derivatives of the Jacobi operator valid for all geodesic on the flag manifold M6 = U(3)/(U(1)×U(1)×U(1)). As a consequence, an explicit expression of the Jacobi operator independent of the geodesic can be obtained on such a manifold. Moreover, we show the way to calculate the Jacobi vector fields on this manifold by a new formula valid on every g.o. space. |
URI: | http://hdl.handle.net/10662/3317 |
Colección: | DMATE - Artículos |
Archivos
Archivo | Descripción | Tamaño | Formato | |
---|---|---|---|---|
arxiv_ 0906.2890.pdf | 85,91 kB | Adobe PDF | Descargar |
Este elemento está sujeto a una licencia Licencia Creative Commons