Work

Surfaces with mean of the hyperbolic curvature radii of double harmonic type

Year: 2025

Type: article

Abstract: In this paper, we define surfaces with mean of the hyperbolic curvature radii of double harmonic type (in short DHRMC-surfaces) in the hyperbolic space, these surfaces include the generalized Weingarten surfaces of the harmonic type (HGW-surfaces). We give a characterization of DHRMCsurfaces. Given a real function, we will present a family of DHRMC-surfaces that depend on two holomorphic functions. Moreover, we classify the DHRMC-surfaces of rotation.

Source: Selecciones Matemáticas

DOI: 10.17268/sel.mat.2025.01.03

Authors: Armando M. V. Corro, Carlos M. C. Riveros, Raquel P. de Aráujo, Instituto Federal Goiano, Posee, GO, Brazil.

Institutions: Universidade Federal de Goiás, Universidade de Brasília, Instituto Federal Goiano

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4412771766

FWCI:

Cites:

Cited by:

Related to: 10