The Bryant-Salamon G_2 manifolds and hypersurface geometry

Simple item page
dc.creatorMiyaoka, Reiko
dc.date2006-05-29
dc.date2006-06-02
dc.date.accessioned2026-07-07T07:13:46Z
dc.date.available2026-07-07T07:13:46Z
dc.descriptionWe show that two of the Bryant-Salamon G_2-manifolds have a simple topology ; homeomorphic to the complement of some submanifolds of the 7-dimensional sphere. In this connection, we show there exists a complete Ricci-flat (non-flat) metric on the complement of an m-dimensional sphere in an n-dimensional sphere for some n-1>m. We also give many examples of special Lagrangian submanifolds of the cotangent bundle of the sphere with the Stenzel metric. Hypersurface geometry is essential in the argument.
dc.description8 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0605074
dc.identifierhttp://arxiv.org/abs/math-ph/0605074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/112598
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.subject53C29;53C38;53C80
dc.titleThe Bryant-Salamon G_2 manifolds and hypersurface geometry
dc.typetext

Files

Collections

arXiv