关于四元射影空间的一般极小子流形
관우사원사영공간적일반겁소자류형
On Generic Minimal Submanifolds of a Quaternionic Projective Space
  • 万方数据
    数学学报 수학학보
    ACTA MATHEMATICA SINCA
    2000年 2期 193-200 ,共8页

    瞿成勤%宋卫东

    구성근%송위동

    四元结构%一般子流形%Laplace算子%谱 四元結構%一般子流形%Laplace算子%譜
    사원결구%일반자류형%Laplace산자%보
    Quaternionic structure%Genericsubmanifold%Laplacian%Spectrum
    本文研究四元射影空间的一般极小子流形,建立了一个积分公式,并且用此公式得到了紧致一般极小子流形的截曲率的Pinching结果.
    본문연구사원사영공간적일반겁소자류형,건립료일개적분공식,병차용차공식득도료긴치일반겁소자류형적절곡솔적Pinching결과.
    The purpose of the present paper is to studygeneric minimal submanifold of quaternionic projective space, anintegral formula is obtained, and we obtain the sectional curvature'spinching theorem of the compact minimal submanifold.
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