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. Ifeve...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.展开更多
文摘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.
