Randers manifolds of positive constant curvature
We prove that any simply connected and complete Riemannian manifold, on which a Randers metric of positive constant flag curvature exists, must be diffeomorphic to an odd-dimensional sphere, provided a certain 1-form vanishes on it.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2003-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171203111301 |
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| _version_ | 1850175675941519360 |
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| author | Aurel Bejancu Hani Reda Farran |
| author_facet | Aurel Bejancu Hani Reda Farran |
| author_sort | Aurel Bejancu |
| collection | DOAJ |
| description | We prove that any simply connected and complete Riemannian
manifold, on which a Randers metric of positive constant flag curvature exists, must be diffeomorphic to an odd-dimensional sphere, provided a certain 1-form vanishes on it. |
| format | Article |
| id | doaj-art-ba76773837e245bd87c49770781943bc |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2003-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-ba76773837e245bd87c49770781943bc2025-08-20T02:19:26ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252003-01-012003181155116510.1155/S0161171203111301Randers manifolds of positive constant curvatureAurel Bejancu0Hani Reda Farran1Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitDepartment of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, KuwaitWe prove that any simply connected and complete Riemannian manifold, on which a Randers metric of positive constant flag curvature exists, must be diffeomorphic to an odd-dimensional sphere, provided a certain 1-form vanishes on it.http://dx.doi.org/10.1155/S0161171203111301 |
| spellingShingle | Aurel Bejancu Hani Reda Farran Randers manifolds of positive constant curvature International Journal of Mathematics and Mathematical Sciences |
| title | Randers manifolds of positive constant curvature |
| title_full | Randers manifolds of positive constant curvature |
| title_fullStr | Randers manifolds of positive constant curvature |
| title_full_unstemmed | Randers manifolds of positive constant curvature |
| title_short | Randers manifolds of positive constant curvature |
| title_sort | randers manifolds of positive constant curvature |
| url | http://dx.doi.org/10.1155/S0161171203111301 |
| work_keys_str_mv | AT aurelbejancu randersmanifoldsofpositiveconstantcurvature AT haniredafarran randersmanifoldsofpositiveconstantcurvature |