Projectively flat surfaces in $\textbf {A}^ 3$
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- by Fabio Podestà PDF
- Proc. Amer. Math. Soc. 119 (1993), 255-260 Request permission
Abstract:
We consider a nondegenerate immersion $f:{M^2} \to {\mathbb {A}^3}$ of an orientable $2$-dimensional manifold ${M^2}$ together with the Blaschke connection $\nabla$ induced on ${M^2}$; 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.References
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 255-260
- MSC: Primary 53B05; Secondary 53A15
- DOI: https://doi.org/10.1090/S0002-9939-1993-1169045-7
- MathSciNet review: 1169045