Generalized Ribaucour-type surfaces
arXiv:2305.17617
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.
arXiv admin note: substantial text overlap with arXiv:2303.03228