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

共 50 条

[31] Hopf Real Hypersurfaces in the Indefinite Complex Projective Space
Kimura, Makoto
Ortega, Miguel
MEDITERRANEAN JOURNAL OF MATHEMATICS, 2019, 16 (02)
[32] Holomorphic Mappings into the Complex Projective Space with Moving Hypersurfaces
Yang, Liu
FILOMAT, 2021, 35 (03) : 955 - 962
[33] ON RANK AND CURVATURE OF NON-SINGULAR COMPLEX HYPERSURFACES IN A COMPLEX PROJECTIVE SPACE
NOMIZU, K
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1969, 21 (02) : 266 - +
[34] VANISHING THEOREMS FOR KILLING VECTOR FIELDS ON COMPLETE HYPERSURFACES IN THE HYPERBOLIC SPACE
Huang, Guangyue
Li, Hongjuan
COLLOQUIUM MATHEMATICUM, 2016, 145 (01) : 99 - 105
[35] KILLING VECTOR-FIELDS AND COMPLEX STRUCTURES
CURRASBOSCH, C
LECTURE NOTES IN MATHEMATICS, 1984, 1045 : 36 - 42
[36] On the topology of complex projective hypersurfaces
Maxim, Laurentiu G.
RESEARCH IN THE MATHEMATICAL SCIENCES, 2024, 11 (01)
[37] On the topology of complex projective hypersurfaces
Laurenţiu G. Maxim
Research in the Mathematical Sciences, 2024, 11
[38] New characterizations of ruled real hypersurfaces in complex projective space
Perez, Juan de Dios
Perez-Lopez, David
PERIODICA MATHEMATICA HUNGARICA, 2023, 87 (02) : 456 - 467
[39] Characterizations of three homogeneous real hypersurfaces in a complex projective space
Kimura, Makoto
Maeda, Sadahiro
HOKKAIDO MATHEMATICAL JOURNAL, 2018, 47 (02) : 291 - 316
[40] Geometry of holomorphic distributions of real hypersurfaces in a complex projective space
Ki, UH
Kimura, M
Maeda, S
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2001, 51 (01) : 197 - 204

← 1 2 3 4 5 →