Generalized Ribaucour-type surfaces

Autor: Mendez, Milton Javier Cardenas, Corro, Armando Mauro Vasquez
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: In this work we generalize the surfaces studied in [8], we define the generalization of Ribaucour-type surfaces (in short, GRT-surfaces). We obtain present a representation for GRT-surfaces with prescribed Gauss map which depends on two holomorphic functions and a real function l. We give explicit examples of GRT-surfaces. Also, we use this representation to classify the GRT-surfaces of rotation.
Comment: arXiv admin note: substantial text overlap with arXiv:2303.03228
Databáze: arXiv