子流形的测地曲率
자류형적측지곡솔
On the Geomdesic Curvature of Submanifolds
  • 万方数据
    数学物理学报 수학물이학보
    ACTA MATHEMATICA SCIENTIA
    2010年 2期 501-508 ,共8页

    陈方维%姜德烁

    진방유%강덕삭

    第二基本形式%测地曲率%法曲率 第二基本形式%測地麯率%法麯率
    제이기본형식%측지곡솔%법곡솔
    The second fundamental form%Geodesic curvature%Normal curvature
    该文研究了黎曼齐次空间G/H中子流形MP和子流形N2的交Mp∩ gNq的测地曲率,其中g∈G为等距群,并把Mp∩gNq的第二基本形式表示成Mp和Nq的测地曲率以及它们之间的夹角的组合.
    해문연구료려만제차공간G/H중자류형MP화자류형N2적교Mp∩ gNq적측지곡솔,기중g∈G위등거군,병파Mp∩gNq적제이기본형식표시성Mp화Nq적측지곡솔이급타문지간적협각적조합.
    In this paper, the authors investigate the second fundamental forms of the inter-section Mp∩gNq of submanifolds Mp, Nqin a Riemaimian space G/H for g ∈ G(the group of isometries). As expected, the second fundamental form of Mp ∩ gNq can be expressed by the curvatures of Mp, Nq and the angle between Mp and gNq.
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