We consider a nondegenerate immersion f:M2 --> A3 of an orientable 2-dimensional manifold M2 together with the Blaschke connection del induced on M2; 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.
Projectively flat surfaces in A^3 / F. PODESTA'. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - STAMPA. - 119:(1993), pp. 255-260. [10.2307/2159850]
Projectively flat surfaces in A^3
PODESTA', FABIO
1993
Abstract
We consider a nondegenerate immersion f:M2 --> A3 of an orientable 2-dimensional manifold M2 together with the Blaschke connection del induced on M2; 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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