ON THE MASLOV INDEX OF LAGRANGIAN SUBMANIFOLDS OF GENERALIZED CALABI–YAU MANIFOLDS

DOI10.1142/S0129167X06003710zbMath1115.53053OpenAlexW2051962634MaRDI QIDQ3421611

Paolo De Bartolomeis, Adriano Tomassini

Publication date: 7 February 2007

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

Full work available at URL: https://doi.org/10.1142/s0129167x06003710

zbMATH Keywords

LagrangianMaslov indexsymplectic

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25) Hodge theory in global analysis (58A14) Lagrangian submanifolds; Maslov index (53D12)

Related Items (13)

Exotic deformations of Calabi-Yau manifolds ⋮ The Ricci tensor of SU(3)-manifolds ⋮ The mean curvature of special Lagrangian 3-folds in \(\text{SU}(3)\)-structures with torsion ⋮ On solvable generalized Calabi-Yau manifolds ⋮ Homogeneous symplectic half-flat 6-manifolds ⋮ On generalized Calabi-Yau nilmanifolds ⋮ On the automorphism group of a symplectic half-flat 6-manifold ⋮ Memories of Paolo de Bartolomeis ⋮ Theta functions on the Kodaira–Thurston manifold ⋮ Torsion of \(SU(2)\)-structures and Ricci curvature in dimension 5 ⋮ On symplectic half-flat manifolds ⋮ GENERALIZED G₂-MANIFOLDS AND SU(3)-STRUCTURES ⋮ SOME RESULTS ON GENERALIZED CALABI–YAU MANIFOLDS

Cites Work

• Kähler and symplectic structures on nilmanifolds
• The Maslov class in a Riemannian phase space
• The geometry of three-forms in six dimensions.
• Hodge structure on symplectic manifolds
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• Symplectic manifolds with no Kähler structure

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