Zoll Manifolds and Complex Surfaces

We classify compact surfaces with torsion-free affine connections for which every geodesic is a simple closed curve. In the process, we obtain completely new proofs of all the major results concerning the Riemannian case. In contrast to previous work, our approach is twistor-theoretic, and depends...

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Détails bibliographiques
Auteurs principaux: LeBrun, C, Mason, L
Format: Journal article
Publié: 2002