Faculté des sciences

Intrinsic geometry and analysis of Finsler structures

Guo, Chang-Yu

In: Annali di Matematica Pura ed Applicata (1923 -), 2017, vol. 196, no. 5, p. 1685–1693

In this short note, we prove that if F is a weak upper semicontinuous admissible Finsler structure on a domain in Rn,n≥2Rn,n≥2\mathbb {R}^n, n\ge 2, then the intrinsic distance and differential structures coincide. Plus

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    Summary
    In this short note, we prove that if F is a weak upper semicontinuous admissible Finsler structure on a domain in Rn,n≥2Rn,n≥2\mathbb {R}^n, n\ge 2, then the intrinsic distance and differential structures coincide.