Please use this identifier to cite or link to this item:
Scopus Web of Science® Altmetric
Full metadata record
DC FieldValueLanguage
dc.contributor.authorAnderson, I.M.-
dc.contributor.authorLeistner, T.-
dc.contributor.authorNurowski, P.-
dc.identifier.citationJournal of Differential Geometry, 2020; 114(2):193-242-
dc.description.abstractWe present three large classes of examples of conformal structures whose Fefferman–Graham ambient metrics can be found explicitly. Our method for constructing these examples rests upon a set of sufficiency conditions under which the Fefferman–Graham equations are assured to reduce to a system of inhomogeneous linear partial differential equations. Our examples include conformal pp-waves and, more importantly, conformal structures that are defined by generic co-rank 3 distributions in dimensions 5 and 6. Our examples illustrate various aspects of the ambient metric construction. The holonomy algebras of our ambient metrics are studied in detail. In particular, we exhibit a large class of metrics with holonomy equal to the exceptional non-compact Lie group G2 as well as ambient metrics with holonomy contained in Spin(4,3).-
dc.description.statementofresponsibilityIan M. Anderson, Thomas Leistner and Paweł Nurowski-
dc.publisherInternational Press-
dc.rightsCopyright status unknown-
dc.subjectPrimary: 53C29, 53A30, secondary: 53C50-
dc.titleExplicit ambient metrics and holonomy-
dc.typeJournal article-
dc.identifier.orcidLeistner, T. [0000-0002-8837-5215]-
Appears in Collections:Aurora harvest 4
Mathematical Sciences publications

Files in This Item:
There are no files associated with this item.

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.