# The Birth of Lie's Theory of Groups

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The aim of this paper is fourfold. Firstly, we introduce and study the fultra-harmonic maps. Secondly, we recall the geometric dynamics generated by a first order normal PDE system and we give original results regarding the geometric dynamics generated by other first order PDE systems. Thirdly,...

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For curved projective manifolds, we introduce a notion of a normal tractor frame field, based around any point. This leads to canonical systems of (redundant) coordinates that generalize the usual homogeneous coordinates on projective space. These give preferred local maps to the model...