Complex sprays and complex curves.

Watt, Colum. "Complex sprays and complex curves.." Revista Matemática Complutense 14.1 (2001): 147-173. <http://eudml.org/doc/44465>.

@article{Watt2001,
abstract = {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.},
author = {Watt, Colum},
journal = {Revista Matemática Complutense},
keywords = {Geometría diferencial; Variedades complejas; Curvatura; Geodésicas; Superficies Riemann; Curvas; Campos vectoriales; Inmersión; Fibrados; complex spray; spray complex curve; complex Finsler metric},
language = {eng},
number = {1},
pages = {147-173},
title = {Complex sprays and complex curves.},
url = {http://eudml.org/doc/44465},
volume = {14},
year = {2001},
}

TY - JOUR
AU - Watt, Colum
TI - Complex sprays and complex curves.
JO - Revista Matemática Complutense
PY - 2001
VL - 14
IS - 1
SP - 147
EP - 173
AB - 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.
LA - eng
KW - Geometría diferencial; Variedades complejas; Curvatura; Geodésicas; Superficies Riemann; Curvas; Campos vectoriales; Inmersión; Fibrados; complex spray; spray complex curve; complex Finsler metric
UR - http://eudml.org/doc/44465
ER -