Minimal surfaces in three-dimensional Riemannian manifold associated with a second-order ODE

DOI10.1007/s00009-018-1229-2zbMath1397.53073OpenAlexW2883789004WikidataQ115390326 ScholiaQ115390326MaRDI QIDQ1790571

T. Bayrakdar, Abdullah Aziz Ergin

Publication date: 2 October 2018

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-018-1229-2

zbMATH Keywords

minimal surfaceRiemannian geometrytotally geodesic submanifoldjet bundlesecond-order ODE

Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Minimal surfaces and optimization (49Q05) Jets in global analysis (58A20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (4)

Unnamed Item ⋮ Sasakian structure associated with a second-order ODE and Hamiltonian dynamical systems ⋮ Bi-Hamiltonian structure of a unit geodesic vector field on a 3D space of constant negative curvature ⋮ Geometry of a surface in Riemannian 3-manifold corresponding to a smooth autonomous dynamical system

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