Geometry of Weighted Finsler Spacetimes

Explore the theory of weighted Lorentz-Finsler manifolds in this 39-minute conference talk from the Workshop on "Non-regular Spacetime Geometry" at the Erwin Schrödinger International Institute for Mathematics and Physics. Delve into the generalization of Lorentzian manifolds and discover how equipping them with time orientation and weight creates weighted Finsler spacetimes. Learn about the successful development of Ricci curvature theory within this framework, including singularity theorems and comparison theorems. Gain insights into the ongoing joint research with Mathias Braun, Yufeng Lu, and Ettore Minguzzi, expanding the understanding of non-regular spacetime geometry.

Shin-ichi Ohta - Geometry of weighted Finsler spacetimes