Lagrangian foliations and Anosov symplectomorphisms on Kahler manifolds

Hamilton, M. J. D. and Kotschick, D. (2021): Lagrangian foliations and Anosov symplectomorphisms on Kahler manifolds. In: Ergodic Theory and Dynamical Systems, Vol. 41, No. 11, PII S0143385720001091: pp. 3325-3335

Abstract

We investigate parallel Lagrangian foliations on Kahler manifolds. On the one hand, we show that a Kahler metric admitting a parallel Lagrangian foliation must be flat. On the other hand, we give many examples of parallel Lagrangian foliations on closed flat Kahler manifolds which are not tori. These examples arise from Anosov automorphisms preserving a Kahler form.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 0143-3857
• Language: English