On the Conformal Geometry of Transverse Riemann-Lorentz Manifolds

Abstract

Physical reasons suggested in \cite{Ha-Ha} for the \emph{Quantum Gravity Problem} lead us to study \emph{type-changing metrics} on a manifold. The most interesting cases are \emph{Transverse Riemann-Lorentz Manifolds}. Here we study the conformal geometry of such manifolds.

Cited by in corpus (3)

• Curvature Measures of Pseudo-Riemannian Manifolds
• Pseudo-timelike loops in signature changing semi-Riemannian manifolds with a transverse radical
• Mixed type surfaces with bounded Gaussian curvature in three-dimensional Lorentzian manifolds