About curvature, conformal metrics and warped products
| dc.citation.epage | 13930 | en_US |
| dc.citation.issueNumber | 46 | en_US |
| dc.citation.spage | 13907 | en_US |
| dc.citation.volumeNumber | 40 | en_US |
| dc.contributor.author | Dobarro, F. | en_US |
| dc.contributor.author | Ünal, B. | en_US |
| dc.date.accessioned | 2016-02-08T10:12:16Z | |
| dc.date.available | 2016-02-08T10:12:16Z | |
| dc.date.issued | 2007 | en_US |
| dc.department | Department of Mathematics | en_US |
| dc.description.abstract | We consider the curvature of a family of warped products of two pseduo-Riemannian manifolds (B, gB) and (F, gF) furnished with metrics of the form c2gB ⊕ w2g F and, in particular, of the type w2μgB ⊕ w2gF, where c, w:B → (0, ∞) are smooth functions and μ is a real parameter. We obtain suitable expressions for the Ricci tensor and scalar curvature of such products that allow us to establish results about the existence of Einstein or constant scalar curvature structures in these categories. If (B, gB) is Riemannian, the latter question involves nonlinear elliptic partial differential equations with concave-convex nonlinearities and singular partial differential equations of the Lichnerowicz-York-type among others. © 2007 IOP Publishing Ltd. | en_US |
| dc.description.provenance | Made available in DSpace on 2016-02-08T10:12:16Z (GMT). No. of bitstreams: 1 bilkent-research-paper.pdf: 70227 bytes, checksum: 26e812c6f5156f83f0e77b261a471b5a (MD5) Previous issue date: 2007 | en |
| dc.identifier.doi | 10.1088/1751-8113/40/46/006 | en_US |
| dc.identifier.eissn | 1751-8121 | |
| dc.identifier.issn | 1751-8113 | |
| dc.identifier.uri | http://hdl.handle.net/11693/23331 | |
| dc.language.iso | English | en_US |
| dc.publisher | Institute of Physics Publishing Ltd. | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1088/1751-8113/40/46/006 | en_US |
| dc.source.title | Journal of Physics A : Mathematical and Theoretical | en_US |
| dc.title | About curvature, conformal metrics and warped products | en_US |
| dc.type | Article | en_US |
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