Einstein Metrics Induced by Natural Riemann Extensions
| dc.authorid | KILIC, Erol/0000-0001-7536-0404 | |
| dc.authorid | Eken Meric, Semsi/0000-0003-2783-1149 | |
| dc.authorwosid | Eken meric, Semsi/JVZ-5932-2024 | |
| dc.authorwosid | KILIC, Erol/ABH-7615-2020 | |
| dc.authorwosid | Eken Meric, Semsi/P-1889-2018 | |
| dc.contributor.author | Bejan, Cornelia-Livia | |
| dc.contributor.author | Meric, Semsi Eken | |
| dc.contributor.author | Kilic, Erol | |
| dc.date.accessioned | 2024-08-04T20:43:01Z | |
| dc.date.available | 2024-08-04T20:43:01Z | |
| dc.date.issued | 2017 | |
| dc.department | İnönü Üniversitesi | en_US |
| dc.description.abstract | Clifford algebras are used in theoretical physics and in particular, in the general theory of relativity, where Einstein's equations are rewritten in Girard (Adv Appl Clifford Algebras 9(2):225-230, 1999) within a Clifford algebra. Let M be a manifold with a torsion-free connection which induces on its cotangent bundle T* M , a semi-Riemannian metric (g) over bar , called the natural Riemann extension, Kowalski and Sekizawa (Publ Math Debrecen 78:709-721, 2011). The main result of the present paper gives a necessary and sufficient condition for (g) over bar restricted to certain hypersurfaces of T* M to be Einstein. | en_US |
| dc.identifier.doi | 10.1007/s00006-017-0774-2 | |
| dc.identifier.endpage | 2343 | en_US |
| dc.identifier.issn | 0188-7009 | |
| dc.identifier.issn | 1661-4909 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-85015789759 | en_US |
| dc.identifier.scopusquality | Q3 | en_US |
| dc.identifier.startpage | 2333 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s00006-017-0774-2 | |
| dc.identifier.uri | https://hdl.handle.net/11616/97738 | |
| dc.identifier.volume | 27 | en_US |
| dc.identifier.wos | WOS:000408268200023 | en_US |
| dc.identifier.wosquality | Q2 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.relation.ispartof | Advances in Applied Clifford Algebras | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Clifford algebra | en_US |
| dc.subject | Cotangent Bundle | en_US |
| dc.subject | Einstein manifold | en_US |
| dc.subject | Natural Riemann Extension | en_US |
| dc.title | Einstein Metrics Induced by Natural Riemann Extensions | en_US |
| dc.type | Article | en_US |
