17 citations · 31 across the 34 of their papers we have counts for
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Volume comparison theorems in Finsler spacetimes
Yufeng Lu
In a -dimensional Lorentz--Finsler manifold with -Bakry--Émery Ricci curvature bounded below for , using the Riccati equation techniques, we established t…
Geometry of weighted Lorentz-Finsler manifolds II: A splitting theorem
Yufeng Lu, Ettore Minguzzi, Shin-ichi Ohta
We show an analogue of the Lorentzian splitting theorem for weighted Lorentz-Finsler manifolds: If a weighted Berwald spacetime of nonnegative weighted Ricci curvature satisfies ce…
Comparison theorems on weighted Finsler manifolds and spacetimes with -range
Yufeng Lu, Ettore Minguzzi, Shin-ichi Ohta
We establish the Bonnet-Myers theorem, Laplacian comparison theorem, and Bishop-Gromov volume comparison theorem for weighted Finsler manifolds as well as weighted Finsler spacetim…
Geometry of weighted Lorentz-Finsler manifolds I: Singularity theorems
Yufeng Lu, Ettore Minguzzi, Shin-ichi Ohta
We develop the theory of weighted Ricci curvature in a weighted Lorentz-Finsler framework and extend the classical singularity theorems of general relativity. In order to reach thi…