Conformal geometry and complete minimal surfaces

1987/01/01 by Rob Kusner · 3 citations
Mathematics · #Conformal field theory #Conformal geometry #Conformal map #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Mathematics #Minimal surface #Point processes and geometric inequalities

paper · pdf · doi:10.1090/s0273-0979-1987-15564-9

openalex publication_date 1987/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22

Abstract

to the study of complete minimal surfaces of finite total curvature in R 3. The two main results illustrate this in complementary ways. Theorem A implies several uniqueness or nonexistence corollaries, while Theorem B constructs new examples, including the first complete immersed nonorientable minimal

Citations

• A new conformal invariant and its applications to the Willmore conjecture and the first eigenvalue of compact surfaces

Cited by

• Riemannian Submanifolds
• On the topology and index of minimal surfaces
• Boy's surface [wikipedia]