SLANT IMMERSIONS OF COMPLEX SPACE FORMS AND CHEN＇S INEQUALITY数学物理学报：B辑英文版论文
【题名】：SLANT IMMERSIONS OF COMPLEX SPACE FORMS AND CHEN＇S INEQUALITY数学物理学报：B辑英文版论文(SLANT IMMERSIONS OF COMPLEX SPACE FORMS AND CHEN＇S INEQUALITYShuXueWuLiXueBao：BJiYingWenBanLunWen) 【关键词】：理想 复空间形式 Chen’s不等式 子流形 斜浸入 【keywords】：LiXiang FuKongJianXingShi Chen’sBuDengShi ZiLiuXing XieJinRu 【作者】：李光汉,吴传喜,      【来源】： 知识词典 【期刊名称】：数学物理学报：B辑英文版(ShuXueWuLiXueBao：BJiYingWenBan) 【国际标准刊号】：0252-9602        【国内统一刊号】：42-1227 【作者单位】：[1]SchoolofMathematicsandComputerScience,HubeiUniversity,Wuhan430062 [2]SchoolofMathematicalScience,PekingUniversity,Beijing100871,China／／SchoolofMathematicsandComputerScience,HubeiUniversity,Wuhan430062([1]SchoolofMathematicsandComputerScience,HubeiUniversity,Wuhan430062 [2]SchoolofMathematicalScience,PekingUniversity,Beijing100871,China／／SchoolofMathematicsandComputerScience,HubeiUniversity,Wuhan430062) 【分类号】：O153      【页码】：-223-232      【出版年】：2005.2         A submanifold in a complex space form is called slant it it has constant Wirtinger angles. B, Y, Chen and Y. Tazawa proved that there do not exist minimal proper slant surfaces in CP^2 and CH^2. So it seems that the slant immersion has some interesting properties. The authors have great interest to consider slant immersions satisfying some additional conditions, such as unfull first normal bundles or Chen's equality holding. They prove that there do not exist n-dimensional Kaehlerian slant immersion sin CP^n and CH^n with unfull first normal bundles. Next, it is seen that every Kaehlerian slant submanifold satisfying an equality of Chen is minimal which is similar to that of Lagrangian immersions. But in contrast, it is shown that a large class of slant immersions do not exist thoroughly. Finally, they give an application of Chen's inequality to general slant immersions in a complex projective space, which generalizes a result of Chen.
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