of An Almost Hermitian Manifold Xie Li and Wan Yong Received: October 28, 2013; Accepted: February 7, 2014 Abstract. In this paper, we firstly study differentiable functions on M, where M is a pseudo-umbilical CR-submanifold of an almost Hermitian manifold, then give a theorem which concern with geodesic character of M, and extend Bejancu and Chen B. Y.'s conclusions. Keywords: almost Hermitian manifold; CR-submanifold; distribution; connection; pseudo-umbilical. AMS Subject classification: Primary: 53C25, 58A30 Version to read: PDF ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2014, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |