Generalized Ribaucour-type surfaces
Differential Geometry
2023-05-30 v1
Abstract
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.
Cite
@article{arxiv.2305.17617,
title = {Generalized Ribaucour-type surfaces},
author = {Milton Javier Cardenas Mendez and Armando Mauro Vasquez Corro},
journal= {arXiv preprint arXiv:2305.17617},
year = {2023}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2303.03228