Minimal Surfaces in Three-Dimensional Riemannian Manifold Associated with a Second-Order ODE

被引：6
作者：
Bayrakdar, T. [1 ]
Ergin, A. A. [1 ]
机构：
[1] Akdeniz Univ, Dept Math, TR-07058 Antalya, Turkey
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2018年 / 15卷 / 04期
关键词：
Minimal surface; totally geodesic submanifold; second-order ODE; jet bundle; Riemannian geometry; CONSTANT MEAN-CURVATURE; EQUIVALENCE PROBLEM; CONNECTIONS; GEOMETRY; SYSTEMS; FORMULA;
D O I：
10.1007/s00009-018-1229-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that a surface corresponding to a first-order ODE is minimal in three-dimensional Riemannian manifold which is determined by the first prolongation of if and only if . Accordingly, any linear first-order ODE describes a minimal surface which is not necessarily totally geodesic.
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页数：12
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