Synge's Trick Revisited
| dc.contributor.advisor | Grove, Karsten | en_US |
| dc.contributor.author | Flores Castillo, Nicolas Virgilio | en_US |
| dc.contributor.department | Mathematics | en_US |
| dc.contributor.publisher | Digital Repository at the University of Maryland | en_US |
| dc.contributor.publisher | University of Maryland (College Park, Md.) | en_US |
| dc.date.accessioned | 2008-06-20T05:37:56Z | |
| dc.date.available | 2008-06-20T05:37:56Z | |
| dc.date.issued | 2008-05-02 | en_US |
| dc.description.abstract | We review Synge's trick and present some of its applications to Riemannian Geometry. We use it to prove Frankel, Weinstein-Synge and Wilking's theorems, which concern manifolds of positive sectional curvature. First, we give the classical proofs of these theorems and then we present a reformulation of Synge's trick in terms of a lower bound for the index of a special kind of geodesics. | en_US |
| dc.format.extent | 262476 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.identifier.uri | http://hdl.handle.net/1903/8197 | |
| dc.language.iso | en_US | |
| dc.subject.pqcontrolled | Mathematics | en_US |
| dc.title | Synge's Trick Revisited | en_US |
| dc.type | Thesis | en_US |
Files
Original bundle
1 - 1 of 1