Counterexample to a conjecture of H. Hopf 论文
1986Pacific Journal of Mathematics引用 377
Nonlinear Partial Differential EquationsAnalytic and geometric function theoryAdvanced Mathematical Modeling in Engineering
摘要
The purpose of this paper is to produce an immersion of a compact oriented two-dimensional surface of genus one into Euclidean 3-space with constant mean curvature H 0. We thus provide a counterexample in dimension 3 to the following conjecture of H. Hopf.