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math.DG2021★ 6 cited
Foliated affine and projective structures
Bertrand Deroin, Adolfo Guillot
We formalize the concepts of holomorphic affine and projective structures along the leaves of holomorphic foliations by curves on complex manifolds. We show that many foliations ad…
math.DG2014★ 8 cited
A classification of locally homogeneous affine connections on compact surfaces
Adolfo Guillot, Antonia Sánchez Godinez
We classify the affine connections on compact orientable surfaces for which the pseudogroup of local isometries acts transitively. We prove that such a connection is either torsion…
math.DG2013★ 12 cited
Quasihomogeneous analytic affine connections on surfaces
Sorin Dumitrescu, Adolfo Guillot
We classify torsion-free real-analytic affine connections on compact oriented real-analytic surfaces which are locally homogeneous on a nontrivial open set, without being locally h…