Beitr\"age zur Algebra und Geometrie
Contributions to Algebra and Geometry
Volume 36 (1995), No. 1

Minimal Surfaces in a Complex Projective Space whose Mean Curvature Vectors
are Eigenvectors

Shi-jie Li and Qi-bin Chen

B.Y.\ Chen [Null 2-type surfaces in
Euclidean space, Algebra, Analysis
and Geometry, Taipei, World Scientific 1989, 1-18]
initiated the study of submanifolds whose mean curvature vector
$H$ is an eigenvector of the Laplacian $\Delta$. In this article, we study
this problem for minimal surfaces in $CP^n$. Two classification theorems are
obtained.