Abstract
Some properties of the spaces of paths are studied in order to define and characterize the local convexity of sets belonging to smooth manifolds and the local convexity of functions defined on local convex sets of smooth manifolds.
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This paper is dedicated to the memory of Guido Stampacchia. This research was supported in part by the Hungarian Scientific Research Fund, Grants OTKA-T043276 and OTKA-T043241, and by CNR, Rome, Italy.
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Rapcsák, T. Local Convexity on Smooth Manifolds. J Optim Theory Appl 127, 165–176 (2005). https://doi.org/10.1007/s10957-005-6398-z
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DOI: https://doi.org/10.1007/s10957-005-6398-z