Constant Angle Surfaces in the Heisenberg Group  

作　　者：Johan FASTENAKELS Marian Ioan MUNTEANU Joeri VAN DER VEKEN 

机构地区：[1]Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200B-Box 2400, BE-3001 Leuven, Belgium [2]'Al. I. Cuza' University of Iasi, Bd. Carol I, n. 11, 700506-Iasi, Romania

出　　处：《Acta Mathematica Sinica,English Series》2011年第4期747-756,共10页数学学报（英文版）

摘　　要：In this article we extend the notion of constant angle surfaces in S2 × R and H2 ×R to general Bianchi-Cartan-Vranceanu spaces. We show that these surfaces have constant Gaussian curvature and we give a complete local classification in the Heisenberg group.In this article we extend the notion of constant angle surfaces in S2 × R and H2 ×R to general Bianchi-Cartan-Vranceanu spaces. We show that these surfaces have constant Gaussian curvature and we give a complete local classification in the Heisenberg group.

关 键 词：Heisenberg group Bianchi-Cartan Vranceanu space constant angle surface 

分 类 号：O175.3[理学—数学] O186.11[理学—基础数学]