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Constant Angle Surfaces in the Heisenberg Group 被引量：2

Constant Angle Surfaces in the Heisenberg Group
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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.
作者 Johan FASTENAKELS Marian Ioan MUNTEANU Joeri VAN DER VEKEN
机构地区 Department of Mathematics 'Al. I. Cuza' University of Iasi
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第4期747-756,共10页 数学学报（英文版）
关键词 Heisenberg group Bianchi-Cartan Vranceanu space constant angle surface Heisenberg group, Bianchi-Cartan Vranceanu space, constant angle surface
分类号 O175.3 [理学—基础数学] O186.11 [理学—基础数学]
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参考文献5

  • 1Daniel, B.: Isometric immersions into 3-dimensional homogeneous manifolds. Comment. Math. Helv., 82, 87 131 (2007).
  • 2Dillen, F., Fastenakels, J., Van der Veken, J., et al.: Constant angle surfaces in S^2× R. Monatsh. Mai;h., 152, 89-96 (2007).
  • 3Dillen, F., Munteanu, M. I.: Constant angle surfaces in IH^2 ×R. Bull. Braz. Math. Soc. N. S., 40, 85-97 (2009).
  • 4Dillen, F., Munteanu, M. I.: Surfaces in H^+ × R. In: Pure and Applied Differential Geometry -- PADGE 2007 (F. Dillen and I. Van de Woestyne eds.), Shaker Verlag, Aachen, 2007, 185-193.
  • 5Munteanu, M. I., Nistor, A. I.: A new approach on constant angle surfaces in E3. Turkish J. Math., 33 168 -178 (2009).

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Acta Mathematica Sinica,English Series
2011年 第4期

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