Título inglés |
Complex sprays and complex curves. |
Título español |
Ramajes complejos y curvas complejas. |
Autor/es |
Watt, Colum |
Organización |
Sch. Math. Trinity Coll. Dublin, Dublin, Irlanda |
Revista |
1139-1138 |
Publicación |
2001, 14 (1): 147-173, 15 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
After defining what is meant by a complex spray X on a complex manifold M, we introduce the notion of a spray complex curve associated to X. Several equivalent formulations are derived and we give necessary and sufficient conditions for M to admit spray complex curves for X through each point and in each direction. Refinements of this result are then derived for some special cases, for example when X is the horizontal radial vector field associated to a complex Finsler metric. |
Clasificación UNESCO |
120404 |
Palabras clave español |
Geometría diferencial ; Variedades complejas ; Curvatura ; Geodésicas ; Superficies Riemann ; Curvas ; Campos vectoriales ; Inmersión ; Fibrados |
Código MathReviews |
MR1851727 |
Código Z-Math |
Zbl 1024.53015 |
Acceso al artículo completo |