KILLING VECTOR FIELDS ON COMPLEX HYPERSURFACES IN THE COMPLEX PROJECTIVE SPACE

被引：0

作者：

Koga, Isami ^{[1
]}

Nagatomo, Yasuyuki ^{[2
]}

Takahashi, Masaro ^{[3
]}

机构：

[1] Kyushu Univ, Grad Sch Math, Nishi Ku, 744 MotooKa, Fukuoka, Fukuoka 8190395, Japan

[2] Meiji Univ, Dept Math, Tama Ku, Kawasaki, Kanagawa 2148571, Japan

[3] Kurume Coll, Natl Inst Technol, 1-1-1 Komorino, Kurume, Fukuoka 8308555, Japan

来源：

KYUSHU JOURNAL OF MATHEMATICS | 2018年 / 72卷 / 01期

关键词：

complex projective space; complex hypersurface; Killing vector field;

D O I：

10.2206/kyushujm.72.231

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

If a Killing vector field can be restricted to a totally geodesic submanifold, then we obtain a Killing vector field on the submanifold. Focusing on this property, we study the induced metrics with Killing vector fields on complex hypersurfaces in the complex projective space. As a result, we specify the Lie algebra of Killing vector fields on such hypersurfaces.

引用

页码：231 / 237

页数：7

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