# Complex sprays and complex curves.

Revista Matemática Complutense (2001)

- Volume: 14, Issue: 1, page 147-173
- ISSN: 1139-1138

## Access Full Article

top## Abstract

top## How to cite

topWatt, 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 -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.