Abstract
A survey of geodesic convexity on a Riemannian manifold is presented, then new properties, the nonlinear coordinate representations and the characterization of the geodesic convex functions on ℝ n are established, and finally the relationship related to convex transformable functions is studied.
Research partially supported by the Hungarian National Research Foundation, Grant No. OTKA-2568.
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© 1994 Springer-Verlag Berlin Heidelberg
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Rapcsák, T. (1994). Geodesic convexity on ℝ n . In: Komlósi, S., Rapcsák, T., Schaible, S. (eds) Generalized Convexity. Lecture Notes in Economics and Mathematical Systems, vol 405. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46802-5_9
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DOI: https://doi.org/10.1007/978-3-642-46802-5_9
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