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Classification of holomorphic Pfaff systems on Hopf manifolds
Maurício Corrêa, Antonio M. Ferreira, Misha Verbitsky
We classify holomorphic Pfaff systems (possibly non locally decomposable) on certain Hopf manifolds. As consequence, we prove some integrability results. We also prove that any hol…
On Gauss-Bonnet and Poincaré-Hopf type theorems for complex -manifolds
Maurício Corrêa, Fernando Lourenço, Diogo Machado +1
We prove a Gauss-Bonnet and Poincaré-Hopf type theorems for complex -manifold , where is a complex compact manifold and is a reduced divisor. W…
Classification of holomorphic foliations on Hopf manifolds
Maurício Corrêa, Arturo Fernández-Pérez, Antonio M. Ferreira
We classify nonsingular holomorphic foliations of dimension and codimension one on certain Hopf manifolds. More general, we prove that all nonsingular codimension one distributions…