Generalized Ribaucour-type surfaces

Author:

Milton Javier Cardenas Mendez, Armando Mauro Vasquez Corro

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG)

journal:

date:

2023-05-27 16:00:00

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.

PDF: Generalized Ribaucour-type surfaces.pdf