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...
Príomhchruthaitheoirí: | , |
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Formáid: | Journal article |
Foilsithe / Cruthaithe: |
2002
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_version_ | 1826293752349589504 |
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author | LeBrun, C Mason, L |
author_facet | LeBrun, C Mason, L |
author_sort | LeBrun, C |
collection | OXFORD |
description | 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. |
first_indexed | 2024-03-07T03:35:00Z |
format | Journal article |
id | oxford-uuid:bbfbcc1b-e6c6-4e68-97ef-dcbb459f81dd |
institution | University of Oxford |
last_indexed | 2024-03-07T03:35:00Z |
publishDate | 2002 |
record_format | dspace |
spelling | oxford-uuid:bbfbcc1b-e6c6-4e68-97ef-dcbb459f81dd2022-03-27T05:21:05ZZoll Manifolds and Complex SurfacesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:bbfbcc1b-e6c6-4e68-97ef-dcbb459f81ddSymplectic Elements at Oxford2002LeBrun, CMason, LWe 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. |
spellingShingle | LeBrun, C Mason, L Zoll Manifolds and Complex Surfaces |
title | Zoll Manifolds and Complex Surfaces |
title_full | Zoll Manifolds and Complex Surfaces |
title_fullStr | Zoll Manifolds and Complex Surfaces |
title_full_unstemmed | Zoll Manifolds and Complex Surfaces |
title_short | Zoll Manifolds and Complex Surfaces |
title_sort | zoll manifolds and complex surfaces |
work_keys_str_mv | AT lebrunc zollmanifoldsandcomplexsurfaces AT masonl zollmanifoldsandcomplexsurfaces |