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math.DG2021★ 1 cited
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…
math.DG2021★ 7 cited
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…
math.FA2021
Sharp embedding between Besov-Triebel-Sobolev spaces and modulation spaces
Yufeng Lu
The embedding relations between Besov-Triebel-Sobolev spaces and modulation spaces are determined explicitly. We extend the results of Sugimoto[2007]; Wang[2007] and Kobayashi[2011…