Projectively flat surfaces in
Proc. Amer. Math. Soc. 119 (1993), 255-260
Primary 53B05; Secondary 53A15
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Abstract: We consider a nondegenerate immersion of an orientable -dimensional manifold together with the Blaschke connection induced on ; this work is aimed at studying locally convex surfaces whose Blaschke connection is projectively flat, reducing the problem of their classification to a system of PDE's. In particular we can prove the existence of locally convex projectively flat surfaces which are not locally symmetric.
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