Contact Calabi-Yau manifolds and special Legendrian submanifolds

zbMath1146.53051arXivmath/0612232MaRDI QIDQ2482302

Adriano Tomassini, Luigi Vezzoni

Publication date: 16 April 2008

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

Full work available at URL: https://arxiv.org/abs/math/0612232

zbMATH Keywords

special Lagrangian submanifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Contact manifolds (general theory) (53D10) Calibrations and calibrated geometries (53C38) (G)-structures (53C10)

Related Items (13)

Deformations of special Legendrian submanifolds in Sasaki-Einstein manifolds ⋮ Calabi-Yau cones from contact reduction ⋮ Flows of \(G_2\)-structures on contact Calabi-Yau 7-manifolds ⋮ The Ricci tensor of SU(3)-manifolds ⋮ Anti-quasi-Sasakian manifolds ⋮ Integral submanifolds of r-contact manifolds ⋮ On deformations of D-manifolds and CR D-manifolds ⋮ Deformations of special Legendrian submanifolds with boundary ⋮ Gauge theory and \(\mathrm{G}_2\)-geometry on Calabi-Yau links ⋮ A class of Sasakian 5-manifolds ⋮ Transverse Kähler holonomy in Sasaki geometry and \(\mathcal{S}\)-stability ⋮ Some remarks on Calabi-Yau and hyper-Kähler foliations ⋮ Multicontact formulation for non-conservative field theories

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• Geometric structures on moduli spaces Lagrangian submanifolds
• Generalized Killing spinors in dimension 5
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