A Note on Geodesic Vector Fields

被引：4

作者：

Deshmukh, Sharief ^{[1
]}

Mikes, Josef ^{[2
]}

Bin Turki, Nasser ^{[1
]}

Vilcu, Gabriel-Eduard ^{[3
]}

机构：

[1] King Saud Univ, Dept Math, Coll Sci, POB 2455, Riyadh 11451, Saudi Arabia

[2] Palacky Univ, Dept Algebra & Geometry, 17 Listopadu 12, Olomouc 77146, Czech Republic

[3] Petr Gas Univ Ploiesti, Dept Cybernet Econ Informat Finance & Accountancy, Bd Bucuresti 39, Ploiesti 100680, Romania

来源：

MATHEMATICS | 2020年 / 8卷 / 10期

关键词：

geodesic vector field; concircular vector field; n-sphere; Euclidean space; COMPACT LORENTZIAN MANIFOLDS; SPACE;

D O I：

10.3390/math8101663

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The concircularity property of vector fields implies the geodesicity property, while the converse of this statement is not true. The main objective of this note is to find conditions under which the concircularity and geodesicity properties of vector fields are equivalent. Moreover, it is shown that the geodesicity property of vector fields is also useful in characterizing not only spheres, but also Euclidean spaces.

引用

页码：1 / 16

页数：16

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