Work

Classification of Möbius homogeneous superconformal surfaces in 𝕊5

Year: 2025

Type: article

Abstract: Superconformal surfaces in space forms are characterized by the property that the curvature ellipse is a circle at every point, or equivalently, the normal vector bundle valued Hopf differential is isotropic.This paper focuses on the study of these surfaces within the framework of Möbius geometry.We construct new examples, with a particular emphasis on the case of codimension 3. We also obtain a complete classification of Möbius homogeneous superconformal surfaces in ‫ޓ‬ 5 .

Source: Pacific Journal of Mathematics

DOI: 10.2140/pjm.2025.338.63

Authors: Changping Wang, Zhenxiao Xie

Institutions: Fujian Normal University, Beihang University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities

Awards: G1220981610, G1506100397