Submanifolds with harmonic mean curvature in pseudo-Hermitian geometry

Jun-ichi Inoguchi and Ji-Eun Lee

Address:
Department of Mathematical Sciences, Faculty of Science, Kojirakawa-machi 1-4-12, Yamagata 990-8560, Japan
Institute of Mathematical Sciences, Ewha Womans University, Seoul, Korea

E-mail:
inoguchi@sci.kj.yamagata-u.ac.jp
jieunlee12@gmail.com

Abstract: We classify Hopf cylinders with proper mean curvature vector field in Sasakian 3-manifolds with respect to the Tanaka-Webster connection.

AMSclassification: primary 58E20.

Keywords: pseudo-hermitian mean curvature vector fields, proper mean curvature, biharmonic submanifolds, biminimal immersions.