Geodesic
Multifaceted surface bands and some of their applications
Daghestan Electronic Mathematical Reports, Tome 8 (2017), pp. 48-52.

Voir la notice de l'article provenant de la source Math-Net.Ru

The purpose of this note is to apply the results of work [1] to investigating the properties of a closed geodesic polygon lying on a complete polyhedral saddle surface with a so-called one-to-one spherical image (polyhedron surface of class $\mathcal{E}$).
Keywords: polyhedral surfaces, spherical image. 
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F. M.-S. Nasrulaev. Multifaceted surface bands and some of their applications. Daghestan Electronic Mathematical Reports, Tome 8 (2017), pp. 48-52. http://geodesic.mathdoc.fr/item/DEMR_2017_8_a4/

[1] Verner A.L., Nasrulaev F.S., “Mnogogrannye polosy i topologicheskoe stroenie giperbolicheskikh mnogogrannykh poverkhnostei so vzaimno odnoznachnym sfericheskim izobrazheniem”, Uchenye zapiski LGPI im. A.I. Gertsena, 1967, no. 328

[2] Verner A.L., “Mnogogrannye ugly so vzaimno odnoznachnym sfericheskim izobrazheniem”, Matem. sbornik, 71:2 (1966), 261–286 | MR | Zbl