We characterize the special Lagrangian submanifolds of a generalized Calabi-Yau manifold, with vanishing Maslov class. Then, we carefully describe several examples, including a non-Kähler generalized Calabi-Yau manifold foliated by special Lagrangian submanifolds.
On the Maslov Index of Lagrangian Submanifolds of Generalized Calabi-Yau Manifolds / PAOLO DE BARTOLOMEIS; P. DE BARTOLOMEIS. - In: INTERNATIONAL JOURNAL OF MATHEMATICS. - ISSN 0129-167X. - STAMPA. - Vol 17, n.8:(2006), pp. 921-947. [10.1142/S0129167X06003710]
On the Maslov Index of Lagrangian Submanifolds of Generalized Calabi-Yau Manifolds
DE BARTOLOMEIS, PAOLO
2006
Abstract
We characterize the special Lagrangian submanifolds of a generalized Calabi-Yau manifold, with vanishing Maslov class. Then, we carefully describe several examples, including a non-Kähler generalized Calabi-Yau manifold foliated by special Lagrangian submanifolds.
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