Please use this identifier to cite or link to this item:
|Scopus||Web of Science®||Altmetric|
|Title:||Explicit ambient metrics and holonomy|
|Citation:||Journal of Differential Geometry, 2020; 114(2):193-242|
|Ian M. Anderson, Thomas Leistner and Paweł Nurowski|
|Abstract:||We 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).|
Primary: 53C29, 53A30, secondary: 53C50
|Rights:||Copyright status unknown|
|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.