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On the existence of stable compact leaves for transversely holomorphic foliations |
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| Authors: | César Camacho Bruno Scardua |
| Institution: | 1. IMPA, Estrada D. Castorina, 110, Jardim Botânico, Rio de Janeiro, RJ, CEP. 22460-320, Brazil;2. Instituto de Matemática, Universidade Federal do Rio de Janeiro, Caixa Postal 68530, 21.945-970 Rio de Janeiro, RJ, Brazil |
| Abstract: | We prove that a transversely holomorphic foliation on a compact manifold exhibits some compact leaf with finite holonomy group, provided that the set of compact leaves is not a zero measure set. A similar result is stated for groups of complex diffeomorphisms and periodic orbits. |
| Keywords: | Holomorphic foliation Holonomy Stable leaf |
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