期刊
COMMUNICATIONS IN MATHEMATICAL PHYSICS
卷 334, 期 3, 页码 1529-1551出版社
SPRINGER
DOI: 10.1007/s00220-014-2215-6
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资金
- GNFM of INDAM
Some foundational results on the geometry of Lorentz-Minkowski spaces and Finsler spacetimes are obtained. We prove that the local light cone structure of a reversible Finsler spacetime with more than two dimensions is topologically the same as that of Lorentzian spacetimes: at each point we have just two strictly convex causal cones which intersect only at the origin. Moreover, we prove a reverse Cauchy-Schwarz inequality for these spaces and a corresponding reverse triangle inequality. The Legendre map is proved to be a diffeomorphism in the general pseudo-Finsler case provided the dimension is larger than two.
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