Journal article

Zoll Manifolds and Complex Surfaces

Abstract:: 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 fundamentally on the fact that, up to biholomorphism, there is only one complex structure on CP2.

Publication status:: Published

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APA Style

LeBrun, C., & Mason, L. (2002). Zoll Manifolds and Complex Surfaces. JOURNAL OF DIFFERENTIAL GEOMETRY, 61(3), 453–535.

MLA Style

LeBrun, C., and L. Mason. “Zoll Manifolds and Complex Surfaces.” JOURNAL OF DIFFERENTIAL GEOMETRY, vol. 61, no. 3, 2002, pp. 453–535.

Chicago Style

LeBrun, C, and L Mason. 2002. “Zoll Manifolds and Complex Surfaces.” JOURNAL OF DIFFERENTIAL GEOMETRY 61 (3): 453–535.
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Authors

+ LeBrun, C More by this author

Role:: Author

+ Mason, L More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

Journal:: JOURNAL OF DIFFERENTIAL GEOMETRY More from this journal
Volume:: 61
Issue:: 3
Pages:: 453-535
Publication date:: 2002-11-01
ISSN:: 0022-040X

Keywords:: 53C22; 32G10

math.CV

math.DG
Pubs id:: pubs:27329
UUID:: uuid:bbfbcc1b-e6c6-4e68-97ef-dcbb459f81dd
Local pid:: pubs:27329
Source identifiers:: 27329
Deposit date:: 2012-12-19

Terms of use

Copyright date:: 2002

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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