44 citations · 164 across the 14 of their papers we have counts for
15 papers
The Coulomb gauge in non-associative gauge theory
Sergey Grigorian
The aim of this paper is to extend existence results for the Coulomb gauge from standard gauge theory to a non-associative setting. Non-associative gauge theory is based on smooth…
Smooth loops and loop bundles
Sergey Grigorian
A loop is a rather general algebraic structure that has an identity element and division, but is not necessarily associative. Smooth loops are a direct generalization of Lie groups…
Isometric flows of -structures
Sergey Grigorian
We survey recent progress in the study of flows of isometric -structures on 7-dimensional manifolds, that is, flows that preserve the metric, while modifying the -structu…
Estimates and monotonicity for a heat flow of isometric G2-structures
Sergey Grigorian
Given a -dimensional compact Riemannian manifold that admits -structure, all the -structures that are compatible with the metric are param…
Flows of co-closed -structures
Sergey Grigorian
We survey recent progress in the study of -structure Laplacian coflows, that is, heat flows of co-closed -structures. We introduce the properties of the original Lapl…
G2-structures for N=1 supersymmetric AdS4 solutions of M-theory
Sergey Grigorian
We study the N=1 supersymmetric solutions of D=11 supergravity obtained as a warped product of four-dimensional anti-de-Sitter space with a seven-dimensional Riemannian manifold M.…