12 citations · 38 across the 42 of their papers we have counts for
54 papers
Opers on transversely holomorphic foliations
Indranil Biswas, Sorin Dumitrescu
For real codimension two smooth foliations, we study the transversely complex structures, transversely complex projective structures and transverse opers associated to the foliatio…
Non-Kähler Calabi-Yau manifolds and holomorphic geometric structures
Indranil Biswas, Sorin Dumitrescu
We study holomorphic geometric structures on non-Kähler compact complex manifolds with trivial canonical line bundle. For Vaisman Calabi-Yau manifolds we prove that all holomorphic…
A local Lorentzian Ferrand-Obata theorem for conformal vector fields
Sorin Dumitrescu, Charles Frances, Karin Melnick +2
For a conformal vector field on a closed, real-analytic, Lorentzian manifold we prove that the flow is locally isometric -- that it preserves a metric in the conformal class on a n…
Turbulent holomorphic foliations on compact complex tori and transversely holomorphic Cartan geometry
Indranil Biswas, Sorin Dumitrescu
We define a class of nonsingular holomorphic foliations on compact complex tori which generalizes (in higher codimension) the turbulent foliations of codimension one constructed by…
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…
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.