Autor:	Aydin, Muhittin Evren, Erdur, Ayla, Ergut, Mahmut
Rok vydání:	2018
Předmět:	Mathematics - Differential Geometry 53A35 53A40 53B25
Druh dokumentu:	Working Paper
Popis:	In this paper, we study the problem of finding the affine factorable surfaces in a 3-dimensional isotropic space with prescribed Gaussian (K) and mean (H) curvature. Because the absolute figure two different types of these surfaces appear by permutation of coordinates. We firstly classify the affine factorable surfaces of type 1 with K,H constants. Afterwards, we provide the affine factorable surfaces of type 2 with K=const. and H=0. In addition, in a particular case, the affine factorable surfaces of type 2 with H=const. were obtained. Comment: 13 pages. Your comments are welcome
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1802.00240 Zobrazit plný text záznamu View this record from Arxiv