ON A CONJECTURE OF K. OGIUE FOR KAEHLER HYPERSURFACES

ON A CONJECTURE OF K. OGIUE FOR KAEHLER HYPERSURFACES

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摘要 An affirmative answer to a conjecture of K. Ogiue formulated in [2] is given, namely, thefollowing result is proved:Let Ma (n ≥ 2) be a complete Kaehler hypersurface immersed in a complex projective spaceCPn+1. Ifevery sectional curvature of Mn is positive, then Mn is totally geodesic in CPn+1.

作者 SHANG WEIMING

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1994年第1期69-74,共6页 数学年刊（B辑英文版）

关键词 Kaehler hypersurfaces Conjecture of K. Ogiue Sectional curvature. 卡契拉超曲面截面曲率完全投影空间测地学

分类号 O185.1 [理学—基础数学]

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Chinese Annals of Mathematics,Series B

1994年第1期

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ON A CONJECTURE OF K. OGIUE FOR KAEHLER HYPERSURFACES

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