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math.DG2026★ 1 cited
Splitting theorems for weighted Finsler spacetimes via the -d'Alembertian: beyond the Berwald case
Erasmo Caponio, Argam Ohanyan, Shin-ichi Ohta
A timelike splitting theorem for Finsler spacetimes was previously established by the third author, in collaboration with Lu and Minguzzi, under relatively strong hypotheses, inclu…
math.DG2024
Multiple connecting geodesics of a Randers-Kropina metric via homotopy theory for solutions of an affine control system
Erasmo Caponio, Miguel Angel Javaloyes, Antonio Masiello
We consider a geodesic problem in a manifold endowed with a Randers-Kropina metric. This is a type of singular Finsler metric arising both in the description of the lightlike vecto…