On the Existence of Proper Nearly Kenmotsu Manifolds

被引：6

作者：

Erken, I. Kupeli ^{[1
]}

Dacko, Piotr ^{[1
]}

Murathan, C. ^{[1
]}

机构：

[1] Uludag Univ, Fac Art & Sci, Dept Math, TR-16059 Gorukle, Bursa, Turkey

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2016年 / 13卷 / 06期

关键词：

Almost contact metric manifold; Kenmotsu manifold; nearly Kenmotsu manifold;

D O I：

10.1007/s00009-016-0758-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that a nearly Kenmotsu manifold is locally isometric to the warped product of a real line and a nearly Kahler manifold. As consequence, a normal nearly Kenmotsu manifold is Kenmotsu. Furthermore, we show that there do not exist nearly Kenmotsu hypersurfaces of nearly Kahler manifolds.

引用

页码：4497 / 4507

页数：11

共 15 条

[1]

[Anonymous], 2010, PROGR MATH

[2]

Besse A. L., 2007, EINSTEIN MANIFOLDS

[3]

Blair D. E., 1976, KODAI MATH SEM REP, V27, P175

[4]

Cappelletti-Montano B, 2016, ANN MAT PUR APPL, V195, P897, DOI 10.1007/s10231-015-0496-9

[5] Almost Kenmotsu manifolds and local symmetry [J].

Dileo, Giulia ;

Pastore, Anna Maria .

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2007, 14 (02) :343-354

[6]

Endo H, 2005, AN STIINT U AI CUZA, V51, P439

[7] STRUCTURE OF NEARLY KAHLER MANIFOLDS [J].

GRAY, A .

MATHEMATISCHE ANNALEN, 1976, 223 (03) :233-248

[8]

Gray A., 1970, J. Differ. Geom., V4, P283

[9]

Gray A, 1972, J DIFFER GEOM, V7, P343

[10]

Kenmotsu K., 1972, TOHOKU MATH J, V24, P93

← 1 2 →