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›› 2013, Vol. 30 ›› Issue (5): 585-590.DOI: 10.7523/j.issn.2095-6134.2013.05.002

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Geometry of three-dimensional SU(2)-orbits in the complex Grassmannians

HAN Bing1, WANG Jun2   

  1. 1. School of Mathematics and Computation Sciences, Anhui University, Hefei 230039, China;
    2. School of Mathematics, Nanjing Normal University, Nanjing 210023, China
  • Received:2012-12-18 Revised:2013-03-18 Online:2013-09-15
  • Contact: 王军,E-mail:wangjun706@mails.ucas.ac.cn
  • Supported by:
    Supported by NSFC (11071248, 11226079) and Program of Natural Science Research of Jiangsu Higher Education Institutions of China (12KJD110004)

Abstract: We use the Cartan embedding and the method of moving frame to study the geometry of 3-dimensional SU(2)-orbits in the complex Grassmann manifold G(k,n).

Key words: totally real immersions, sectional curvature, second fundamental form

CLC Number: