Some inequalities among curvature invariants

Sebastian J. Szybka, Yaroslava Kravetska, Kornelia Nikiel

Published: 2025/9/26

Abstract

We prove an infinite sequence of inequalities among Ricci curvature invariants for spacetimes of Segre classes $A1$, $A3$, $B$, and apply one of them to a known relation between the second Ricci invariant and the Kretschmann scalar.