Minimal Lagrangian surfaces in the tangent bundle of a Riemannian surface

DOI10.1016/j.geomphys.2010.09.017zbMath1220.53012arXiv0807.1387OpenAlexW2041485670WikidataQ115353298 ScholiaQ115353298MaRDI QIDQ617958

Pascal Romon, Henri Anciaux, Brendan S. Guilfoyle

Publication date: 14 January 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0807.1387

zbMATH Keywords

minimal surfacesHamiltonian stationary surfacesLagrangian surfacespseudo-Kähler metric

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Lagrangian submanifolds; Maslov index (53D12)

Related Items (7)

A new geometric structure on tangent bundles ⋮ A canonical structure on the tangent bundle of a pseudo- or para-Kähler manifold ⋮ Marginally trapped surfaces in spaces of oriented geodesics ⋮ Minimal Lagrangian submanifolds in indefinite complex space ⋮ Spaces of geodesics of pseudo-Riemannian space forms and normal congruences of hypersurfaces ⋮ On minimal Lagrangian surfaces in the product of Riemannian two manifolds ⋮ On Hamiltonian minimal submanifolds in the space of oriented geodesics in real space forms

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• On the Geometry of the Tangent Bundle.
• Curvature of the Induced Riemannian Metric on the Tangent Bundle of a Riemannian Manifold.
• An Indefinite Kähler Metric on the Space of Oriented Lines

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