activity
20242026
collaborators

6 papers

math.DG2026

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…

math.DG2026

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 holomorphi…

math.DG2025

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…

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

Geometry of -trivial Moishezon manifolds : decomposition theorem and holomorphic geometric structures

Indranil Biswas, Junyan Cao, Sorin Dumitrescu +1

Let be a compact complex manifold such that its canonical bundle is numerically trivial. Assume additionally that is Moishezon or is Fujiki with dimension at most…

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…