A Gauss-Bonnet-type formula on Riemann-Finsler surfaces with nonconstant indicatrix volume

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

Kyoto J. Math., Tome 50 (2010) no. 2, p. 165-192 / Harvested from Project Euclid

Résumé

We prove a Gauss-Bonnet-type formula for Riemann-Finsler surfaces of nonconstant indicatrix volume and with regular piecewise $C^{\infty}$ -boundary. We give a Hadamard-type theorem for $N$ -parallels of a Landsberg surface.

Publié le : 2010-05-15
Classification: 53C60, 53C20

@article{1271187742,
     author = {Itoh, J. and Sabau, S. V. and Shimada, H.},
     title = {A Gauss-Bonnet-type formula on Riemann-Finsler surfaces with nonconstant indicatrix volume},
     journal = {Kyoto J. Math.},
     volume = {50},
     number = {2},
     year = {2010},
     pages = { 165-192},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1271187742}
}

Itoh, J.; Sabau, S. V.; Shimada, H. A Gauss-Bonnet-type formula on Riemann-Finsler surfaces with nonconstant indicatrix volume. Kyoto J. Math., Tome 50 (2010) no. 2, pp.  165-192. http://gdmltest.u-ga.fr/item/1271187742/