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
收藏
页码：185 / 199
页数：15
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