SLANT CURVES IN CONTACT PSEUDO-HERMITIAN 3-MANIFOLDS

被引：34

作者：

Cho, Jong Taek ^{[1
]}

Lee, Ji-Eun ^{[2
,3
]}

机构：

[1] Chonnam Natl Univ, CNU Inst Basic Sci, Dept Math, Kwangju 500757, South Korea

[2] Natl Inst Math Sci, Taejon 305340, South Korea

[3] Chonnam Natl Univ, Grad Sch, Dept Math, Kwangju 500757, South Korea

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2008年 / 78卷 / 03期

关键词：

unit spheres; Legendre curves; pseudo-Hermitian circles;

D O I：

10.1017/S0004972708000737

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using the pseudo-Hermitian connection (or Tanaka-Webster connection) (del) over cap, we construct the parametric equations of Legendre pseudo-Hermitian circles (whose (del) over cap -geodesic curvature (kappa) over cap is constant and (del) over cap -geodesic torsion <(tau)over cap is zero) in S(3). In fact, it is realized as a Legendre curve satisfying the <(del)over cap>-Jacobi equation for the (del) over cap -geodesic vector field along it.

引用

页码：383 / 396

页数：14

共 17 条

[1]

[Anonymous], 1978, J DIFFER GEOM

[2]

Belkhelfa M., 2002, Banach Center Publishing, V57, P67

[3]

BIANCHI L, 1894, LEZIONI GEOMETRIA DI

[4]

BLAIR D. E., 2002, PROGR MATH, V203

[5] Biharmonic submanifolds of S3 [J].

Caddeo, R ;

Montaldo, S ;

Oniciuc, C .

INTERNATIONAL JOURNAL OF MATHEMATICS, 2001, 12 (08) :867-876

[6]

Caddeo R., 2001, Contemp. Math., V288, P286

[7]

Cartan E., 1946, LECONS GEOMETRIE ESP

[8]

Chen BY., 1991, Kyushu J. Math, V45, P323

[9] Biharmonic curves in 3-dimensional Sasakian space forms [J].

Cho, Jong Taek ;

Inoguchi, Jun-Ichi ;

Lee, Ji-Eun .

ANNALI DI MATEMATICA PURA ED APPLICATA, 2007, 186 (04) :685-701

[10] On slant curves in Sasakian 3-manifolds [J].

Cho, Jong Taek ;

Inoguchi, Jun-ichi ;

Lee, Ji-Eun .

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2006, 74 (03) :359-367

← 1 2 →