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math.DG2000
Null-geodesics in complex conformal manifolds and the LeBrun correspondence
F. A. Belgun
In the complex-Riemannian framework we show that a conformal manifold containing a compact, simply-connected, null-geodesic is conformally flat. In dimension 3 we use the LeBrun co…
math.DG2000
Normal CR structures on compact 3-manifolds
F. A. Belgun
We study normal CR compact manifolds in dimension 3. For a choice of a CR Reeb vector field, we associate a Sasakian metric on them, and we classify those metrics. As a consequence…
math.DG2000
On the Weyl tensor of a self-dual complex 4-manifold
F. A. Belgun
We study complex 4-manifolds with holomorphic self-dual conformal structures, and we obtain an interpretation of the Weyl tensor of such a manifold as the projective curvature of a…