Legendre Curves on Generalized Paracontact Metric Manifolds

被引：5

作者：

Bejan, Cornelia-Livia ^{[1
,2
]}

Eken Meric, Semsi ^{[3
]}

Kilic, Erol ^{[4
]}

机构：

[1] Gh Asachi Tech Univ, Dept Math, Corp A, Bd Carol 1,11, Iasi 700506, Romania

[2] Univ Alexandru Ioan Cuza, Seminarul Matemat, Bd Carol 1,11, Iasi 700506, Romania

[3] Mersin Univ, Dept Math, TR-33343 Mersin, Turkey

[4] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 01期

关键词：

Paracontact structures on manifolds; Linear connection; Geodesics; Planar curve; Harmonic map;

D O I：

10.1007/s40840-017-0475-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Two different notions of almost paracontact structures (which are compatible or anti-compatible with the metric), well known in the literature, are unified and generalized here. Several formulas of paraholomorphic maps are established, and a result of Lichnerowicz type is obtained. The connection transformations which have the same system of paracontact-planar Legendre curves are characterized. Conformal changes of metrics which preserve geodesics (resp. paracontact-planar Legendre curves) are studied.

引用

页码：185 / 199

页数：15

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