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Maslov form and \(J\)-volume of totally real immersions.

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Publication:1299137
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DOI10.1016/S0393-0440(97)00030-2zbMath1054.53503MaRDI QIDQ1299137

Vincent Borrelli

Publication date: 27 June 2000

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


zbMATH Keywords

Maslov classSubmanifoldsDeformations


Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Global submanifolds (53C40) Lagrangian submanifolds; Maslov index (53D12)


Related Items (5)

Stabilities of affine Legendrian submanifolds and their moduli spaces ⋮ Complexified diffeomorphism groups, totally real submanifolds and Kähler–Einstein geometry ⋮ Maslov, Chern-Weil and mean curvature ⋮ From minimal Lagrangian to \(J\)-minimal submanifolds: persistence and uniqueness ⋮ Convex integration theory without integration



Cites Work

  • A new obstruction to embedding Lagrangian tori
  • Calibrated geometries
  • Totally real embeddings of the torus into \({\mathbb{C}}^ 2\)
  • Deformations of isotropic submanifolds in Kähler manifolds
  • Second variation and stabilities of minimal Lagrangian submanifolds in Kähler manifolds
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