Complex sprays and complex

  • Colum Watt
DOI: https://doi.org/10.5209/rev_REMA.2001.v14.n1.17051

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.

Downloads

Download data is not yet available.

Article download

Crossmark

Metrics

Published
2001-01-01
How to Cite
Watt C. (2001). Complex sprays and complex. Revista Matemática Complutense, 14(1), 147-173. https://doi.org/10.5209/rev_REMA.2001.v14.n1.17051
Issue
Vol. 14 No. 1 (2001)
Section
Articles

License

LICENCE OF USE: The full text articles included on the Scientific Journals of the Complutense website are open access and the property of their authors and/or publishers. Therefore, any reproduction, distribution, public communication and/or total or partial transformation requires their express and written consent. Links to the full text of the articles on the Scientific Journals of the Complutense website should be to the official URL of the Complutense University of Madrid.