Geodesic
Bi-geodesic mappings between pairs of pants
Lixin Liu1 ; Wen Yang2
1 Sun Yat-sen University, School of Mathematics
2 Hunan University, School of Mathematics, and Sun Yat-sen University, School of Mathematics
Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 713-725

Voir la notice de l'article provenant de la source Journal.fi

It is proved that a bijection between the interiors of two pairs of pants is an isometry if it and its inverse preserve geodesics as subsets.

Lixin Liu 1 ; Wen Yang 2

1 Sun Yat-sen University, School of Mathematics
2 Hunan University, School of Mathematics, and Sun Yat-sen University, School of Mathematics 
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Lixin Liu; Wen Yang. Bi-geodesic mappings between pairs of pants. Annales Fennici Mathematici, Tome 46 (2021) no. 2, pp. 713-725. http://geodesic.mathdoc.fr/item/AFM_2021_46_2_a8/