Geodesic connectedness and completeness of twice warped products
| buir.advisor | Ünal, Bülent | |
| dc.contributor.author | Ateşli, Begüm | |
| dc.date.accessioned | 2017-09-25T13:18:37Z | |
| dc.date.available | 2017-09-25T13:18:37Z | |
| dc.date.copyright | 2017-09 | |
| dc.date.issued | 2017-09 | |
| dc.date.submitted | 2017-09-25 | |
| dc.description | Cataloged from PDF version of article. | en_US |
| dc.description | Thesis (M.S.): Bilkent University, Department of Mathematics, İhsan Doğramacı Bilkent University, 2017. | en_US |
| dc.description | Includes bibliographical references (leaves 57-58). | en_US |
| dc.description.abstract | We introduce the semi-Riemannian geometry. We give some results about Riemannian and Lorentzian manifolds. We explained the Lorentzian causality. We focus on the causality of space-times. We de ne the Lorentzian distance. We compare Lorentzian geometry with Riemannian geometry. We review the Lorentzian warped products and their causality. We focus on the completeness of Lorentzian manifolds and Lorentzian warped products. Then we focus on geodesic connectedness. We give some information about the geodesic connectedness of multiwarped space-times. Lastly, we analyse the relationship between connectedness and completeness of twice warped products under a given condition. | en_US |
| dc.description.provenance | Submitted by Betül Özen (ozen@bilkent.edu.tr) on 2017-09-25T13:18:37Z No. of bitstreams: 1 10165497.pdf: 512521 bytes, checksum: ce9fea7a43826e06be2ffb528b7e3cda (MD5) | en |
| dc.description.provenance | Made available in DSpace on 2017-09-25T13:18:37Z (GMT). No. of bitstreams: 1 10165497.pdf: 512521 bytes, checksum: ce9fea7a43826e06be2ffb528b7e3cda (MD5) Previous issue date: 2017-09 | en |
| dc.description.statementofresponsibility | by Begüm Ateşli. | en_US |
| dc.format.extent | vii, 58 leaves ; 30 cm. | en_US |
| dc.identifier.itemid | B156500 | |
| dc.identifier.uri | http://hdl.handle.net/11693/33729 | |
| dc.language.iso | English | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Lorentzian causality | en_US |
| dc.subject | Lorentzian completeness | en_US |
| dc.subject | Geodesic connectedness | en_US |
| dc.subject | Multiwarped space-times | en_US |
| dc.subject | Twice warped products | en_US |
| dc.title | Geodesic connectedness and completeness of twice warped products | en_US |
| dc.title.alternative | İkili bükülmüş çarpımların jeodezik bağantılılığı ve tamlığı | en_US |
| dc.type | Thesis | en_US |
| thesis.degree.discipline | Mathematics | |
| thesis.degree.grantor | Bilkent University | |
| thesis.degree.level | Master's | |
| thesis.degree.name | MS (Master of Science) |