On Hamiltonian stable minimal Lagrangian surfaces in CP2
Authors:
Shaoping Chang
Affiliation:
(1) P.O. Box 556492, 90055-1492 Los Angeles, CA
Abstract:
We study Hamiltonian stable minimal Lagrangian closed submanifolds in the standard complex projective n-spaceCPn.It is shown that when n = 2such a surface Σis either totally geodesic or flat if the multiplicity of the Laplacian acting on C∞(Σ)is less than or equal to 6.