Show simple item record

dc.contributor.authorUğuz, Selman
dc.contributor.authorBilge, Ayşe Hümeyra
dc.date.accessioned2019-06-27T08:04:45Z
dc.date.available2019-06-27T08:04:45Z
dc.date.issued2011
dc.identifier.issn0393-0440
dc.identifier.urihttps://hdl.handle.net/20.500.12469/984
dc.identifier.urihttps://doi.org/10.1016/j.geomphys.2011.02.009
dc.description.abstractWe consider a generalization of eight-dimensional multiply warped product manifolds as a special warped product by allowing the fiber metric to be non-block diagonal. We define this special warped product as a (3 + 3 + 2) warped-like manifold of the form M = F x B. where the base B is a two-dimensional Riemannian manifold and the fibre F is of the form F = F-1 x F-2 where the F-i(i = 1 2) are Riemannian 3-manifolds. We prove that the connection on M is completely determined by the requirement that the Bonan 4-form given in the work of Yasui and Ootsuka [Y. Yasui and T. Ootsuka Spin(7) holonomy manifold and superconnection Class. Quantum Gravity 18(2001)807-816] be closed. Assuming that the F-i are complete connected and simply connected it follows that they are isometric to S-3 with constant curvature k > 0 and the Yasui-Ootsuka solution is unique in the class of (3 + 3 + 2) warped-like product metrics admitting a specific Spin(7) structure. Crown Copyright (C) 2011 Published by Elsevier B.V. All rights reserved.
dc.language.isoEnglish
dc.publisherElsevier Science Bv
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectHolonomy
dc.subjectSpin(7) manifold
dc.subjectWarped product
dc.subjectMultiply warped product
dc.subject(3+3+2) warped-like product
dc.title(3+3+2) warped-like product manifolds with Spin(7) holonomy
dc.typeArticle
dc.identifier.startpage1093
dc.identifier.endpage1103
dc.relation.journalJournal of Geometry and Physics
dc.identifier.issue6
dc.identifier.volume61
dc.identifier.wosWOS:000290005700011
dc.identifier.doi10.1016/j.geomphys.2011.02.009
dc.contributor.khasauthorBilge, Ayşe Hümeyra


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record