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20112021
most citedA Gauss-Bonnet Type Formula on Riemann-Finsler surfaces with non-constant indicatrix volume

5 citations · 8 across the 6 of their papers we have counts for

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math.DG2013★ 5 cited

A Gauss-Bonnet Type Formula on Riemann-Finsler surfaces with non-constant indicatrix volume

J. Itoh, S. V. Sabau, H. Shimada

We prove a Gauss-Bonnet type formula for Riemann-Finsler surfaces of non-constant indicatrix volume and with regular piecewise smooth boundary. We give a Hadamard type theorem for…

math.DG2013★ 2 cited

Metric structures associated to Finsler metrics

Sorin V. Sabau, Kazuhiro Shibuya, Hideo Shimada

We investigate the relation between weighted quasi-metric Spaces and Finsler Spaces. We show that the induced metric of a Randers space with reversible geodesics is a weighted quas…