Rukimbira, Philippe, Florida International University, Miami, FL 33199 (
Critical Unit Vector Fields in Contact Geometry.
ABSTRACT. We prove that a closed flat contact manifold admits a parallelization by 3 critical unit vector fields, one parallel (hence minimizing), the other two, contact, non-Killing but not minimizing the volume functional. We also characterize K-contact vector fields as absolute minima of a volume functional.