6 citations · 13 across the 3 of their papers we have counts for
4 papers
Wick-rotations of pseudo-Riemannian Lie groups
Christer Helleland
We study Wick-rotations of left-invariant metrics on Lie groups, using results from real GIT (\cite{1}, \cite{2}, \cite{3}). An invariant for Wick-rotation of Lie groups is given,…
Real GIT with applications to compatible representations and Wick-rotations
Christer Helleland, Sigbjorn Hervik
Motivated by Wick-rotations of pseudo-Riemannian manifolds, we study real geometric invariant theory (GIT) and compatible representations. We extend some of the results from earlie…
Wick rotations and real GIT
Christer Helleland, Sigbjorn Hervik
We define Wick-rotations by considering pseudo-Riemannian manifolds as real slices of a holomorphic Riemannian manifold. From a frame bundle viewpoint Wick-rotations between differ…
A Wick-rotatable metric is purely electric
Christer Helleland, Sigbjorn Hervik
We show that a metric of arbitrary dimension and signature which allows for a standard Wick-rotation to a Riemannian metric necessarily has a purely electric Riemann and Weyl tenso…