Affiliation:
1. Department of Mathematics, The Hong Kong University of Science and Technology, Clear Water Bay, Hong Kong
Abstract
In a [Formula: see text]-dimensional Lorentz–Finsler manifold with [Formula: see text]-Bakry–Émery Ricci curvature bounded from below, where [Formula: see text], using the Riccati equation techniques, we establish the Bishop–Gromov volume comparison theorem for the so-called standard sets for comparisons in Lorentzian volumes (SCLVs). We also establish the Günther volume comparison theorem for SCLVs when the flag curvature is bounded above.
Publisher
World Scientific Pub Co Pte Ltd