naa a22 4500 510810764 CHVBK 20180411083441.0 cr unu---uuuuu 180411e20131001xx s 000 0 eng 10.1007/s12220-012-9323-3 doi (NATIONALLICENCE)springer-10.1007/s12220-012-9323-3 Biharmonic Submanifolds with Parallel Mean Curvature in $\mathbb{S}^{n}\times\mathbb{R}$ [Elektronische Daten] [Dorel Fetcu, Cezar Oniciuc, Harold Rosenberg] We find a Simons type formula for submanifolds with parallel mean curvature vector (pmc submanifolds) in product spaces M n (c)×ℝ, where M n (c) is a space form with constant sectional curvaturec, and then we use it to prove a gap theorem for the mean curvature of certain complete proper-biharmonic pmc submanifolds, and classify proper-biharmonic pmc surfaces in $\mathbb{S}^{n}(c)\times\mathbb{R}$ . Mathematica Josephina, Inc., 2012 Biharmonic submanifolds nationallicence Submanifolds with parallel mean curvature vector field nationallicence Simons type equation nationallicence Fetcu Dorel Department of Mathematics and Informatics, Gh. Asachi Technical University of Iasi, Bd. Carol I, 11, 700506, Iasi, Romania aut Oniciuc Cezar Faculty of Mathematics, Al. I. Cuza University of Iasi, Bd. Carol I, 11, 700506, Iasi, Romania aut Rosenberg Harold IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, Brazil aut Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/4(2013-10-01), 2158-2176 1050-6926 23:4<2158 2013 23 12220 https://doi.org/10.1007/s12220-012-9323-3 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s12220-012-9323-3 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Fetcu Dorel Department of Mathematics and Informatics, Gh. Asachi Technical University of Iasi, Bd. Carol I, 11, 700506, Iasi, Romania aut NATIONALLICENCE 700 1- Oniciuc Cezar Faculty of Mathematics, Al. I. Cuza University of Iasi, Bd. Carol I, 11, 700506, Iasi, Romania aut NATIONALLICENCE 700 1- Rosenberg Harold IMPA, Estrada Dona Castorina, 110, 22460-320, Rio de Janeiro, Brazil aut NATIONALLICENCE 773 0- Journal of Geometric Analysis Springer US; http://www.springer-ny.com 23/4(2013-10-01), 2158-2176 1050-6926 23:4<2158 2013 23 12220 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer