Complex Sprays and Complex Curves
نویسنده
چکیده
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.
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