New characterizations of ruled real hypersurfaces in complex projective space

被引：0

作者：

Perez, Juan de Dios ^{[1
]}

Perez-Lopez, David ^{[1
]}

机构：

[1] Univ Granada, Dept Geometria & Topol, Granada 18071, Spain

来源：

PERIODICA MATHEMATICA HUNGARICA | 2023年 / 87卷 / 02期

关键词：

g-Tanaka-Webster connection; Complex projective space; Real hypersurface; kth Cho operator; Torsion operator; Ruled real hypersurfaces; DERIVATIVES;

D O I：

10.1007/s10998-023-00532-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider real hypersurfaces M in complex projective space equipped with both the Levi- Civita and generalized Tanaka-Webster connections. For any nonnull constant k and any symmetric tensor field of type (1, 1) L on M, we can define two tensor fields of type (1, 2) on M, L-F((k)) and (LT)-T-(k) , related to both connections. We study the behaviour of the structure operator f with respect to such tensor fields in the particular case of L = A, the shape operator of M, and obtain some new characterizations of ruled real hypersurfaces in complex projective space.

引用

页码：456 / 467

页数：12

共 50 条

[1] New characterizations of ruled real hypersurfaces in complex projective space
Juan de Dios Pérez
David Pérez-López
Periodica Mathematica Hungarica, 2023, 87 : 456 - 467
[2] Ruled Real Hypersurfaces in the Indefinite Complex Projective Space
Marilena Moruz
Miguel Ortega
Juan de Dios Pérez
Results in Mathematics, 2022, 77
[3] Ruled Real Hypersurfaces in the Indefinite Complex Projective Space
Moruz, Marilena
Ortega, Miguel
de Dios Perez, Juan
RESULTS IN MATHEMATICS, 2022, 77 (04)
[4] Characterizations of three homogeneous real hypersurfaces in a complex projective space
Kimura, Makoto
Maeda, Sadahiro
HOKKAIDO MATHEMATICAL JOURNAL, 2018, 47 (02) : 291 - 316
[5] On Ruled Real Hypersurfaces in Complex Space Forms
Michael Lohnherr
Helmut Reckziegel
Geometriae Dedicata, 1999, 74 : 267 - 286
[6] Ruled Real Hypersurfaces of A Complex Space Form
Acta Mathematica Sinica,English Series, 1994, (04) : 401 - 409
[7] On ruled real hypersurfaces in complex space forms
Lohnherr, M
Reckziegel, H
GEOMETRIAE DEDICATA, 1999, 74 (03) : 267 - 286
[8] RULED REAL HYPERSURFACES OF COMPLEX SPACE FORMS
Hamada, Tatsuyoshi
Inoguchi, Jun-ichi
KODAI MATHEMATICAL JOURNAL, 2010, 33 (01) : 123 - 134
[9] REAL HYPERSURFACES OF A COMPLEX PROJECTIVE SPACE
MAEDA, Y
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 1976, 28 (03) : 529 - 540
[10] Real hypersurfaces of a complex projective space
Deshmukh, Sharief
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2011, 121 (02): : 171 - 179

← 1 2 3 4 5 →