Maslov class and minimality in Calabi-Yau manifolds

DOI10.1016/S0393-0440(00)00003-6zbMath0981.53072arXivmath/0001069OpenAlexW2040658555MaRDI QIDQ1583934

Alessandro Arsie

Publication date: 18 March 2002

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

Full work available at URL: https://arxiv.org/abs/math/0001069

zbMATH Keywords

Calabi-Yau manifoldKähler formsymplectic manifoldLagrangian embeddingMaslov classCalabi-Yau metricmean curvature representation

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Characteristic classes and numbers in differential topology (57R20) Lagrangian submanifolds; Maslov index (53D12)

Related Items (3)

On the Lagrangian angle and the Kähler angle of immersed surfaces in the complex plane \(\mathbb{C}^2\) ⋮ On the Gauss map of equivariant immersions in hyperbolic space ⋮ A rigidity theorem of \(\xi \)-submanifolds in \({\mathbb {C}}^{2}\)

Cites Work

• Calibrated geometries
• Pseudo holomorphic curves in symplectic manifolds
• Mirror symmetry is \(T\)-duality
• Categorial mirror symmetry for K3 surfaces
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