O. A. Bogoyavlenskaya, “On deformations of metrics with holonomy <nobr>$Spin(3,4)$</nobr> on cones over pseudo-Riemannian manifolds”, Sib. Èlektron. Mat. Izv., 2015, Volume 12,Pages <nobr>940

Geometry and topology

On deformations of metrics with holonomy $Spin(3,4)$ on cones over pseudo-Riemannian manifolds

O. A. Bogoyavlenskaya^ab

^a Novosibirsk State University, Pirogova st., 2, 630090, Novosibirsk, Russia
^b Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia

Abstract: We consider deformations of cones over pseudo-Riemannian manifolds. We prove the existence of metrics with holonomy $Spin(3,4)$.

Keywords: pseudo-Riemannian manifolds, holonomy group.

UDC: 514.763.3

MSC: 53C29

Received October 9, 2015, published December 4, 2015

DOI: 10.17377/semi.2015.12.079