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Geometry and topology
On deformations of metrics with holonomy $Spin(3,4)$ on cones over pseudo-Riemannian manifolds
O. A. Bogoyavlenskayaab 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.
Received October 9, 2015, published December 4, 2015
Citation:
O. A. Bogoyavlenskaya, “On deformations of metrics with holonomy $Spin(3,4)$ on cones over pseudo-Riemannian manifolds”, Sib. Èlektron. Mat. Izv., 12 (2015), 940–946
Linking options:
https://www.mathnet.ru/eng/semr642 https://www.mathnet.ru/eng/semr/v12/p940
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