Harmonic almost complex structures Walker metrics proper almost complex structure Department of Analysis, Geometry and Topology
Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Every Walker 4-manifold M, endowed with a canonical neutral metric, admits a specific almost complex structure called proper. In this note we find the conditions under which a proper almost complex structure is harmonic in the sense of C. Wood and as a section of the bundle End(TM). 2000 Mathematics Subject Classification: Primary 53C15, Secondary 53C42, 53C43.