Normal curvature of CR submanifolds of maximal CR dimension of the complex projective space

被引：1

作者：

Djoric, M. ^{[1
]}

Okumura, M. ^{[2
]}

机构：

[1] Univ Belgrade, Fac Math, Studentski Trg 16,Pb 550, Belgrade 11000, Serbia

[2] 5-25-25 Minami Ikuta,Tama Ku, Kawasaki, Kanagawa, Japan

来源：

ACTA MATHEMATICA HUNGARICA | 2018年 / 156卷 / 01期

关键词：

CR submanifold; complex projective space; normal curvature; flat and lift-flat normal connection;

D O I：

10.1007/s10474-018-0821-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that there do not exist CR submanifolds M n of maximal CR dimension of a complex projective space P n+ p 2 (C) with flat normal connection D of M, when the distinguished normal vector field is parallel with respect to D. If D is lift- flat, then there exists a totally geodesic complex projective subspace P n+ 1 2 (C) of P n+ p 2 (C) such that M is a real hypersurface of P n+ 1 2 (C).

引用

页码：82 / 90

页数：9