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math.CV2024
Logarithmic Cartan geometry on complex manifolds with trivial logarithmic tangent bundle
Indranil Biswas, Sorin Dumitrescu, Archana S. Morye
Let be a compact complex manifold, and a reduced normal crossing divisor on it, such that the logarithmic tangent bundle is holomorphically triv…
math.DG2024
Holomorphic foliations with no transversely projective structure
Indranil Biswas, Sorin Dumitrescu
We prove that on the product of two elliptic curves a generic nonsingular turbulent foliation does not admit any transversely projective structure.
math.DG2024
Holomorphic geometric structures on Oeljeklaus-Toma manifolds
Indranil Biswas, Sorin Dumitrescu
We prove that any holomorphic geometric structure of affine type on an Oeljeklaus- Toma manifold is locally homogeneous. For locally conformal Kähler Oeljeklaus-Toma manifolds we p…