2012/10/25 by Gilkey, Peter, Nikcevic, Stana
#53B05 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1210.6769
We give an elementary proof of the fact that any 4-dimensional para-Hermitian manifold admits a unique para-Kaehler--Weyl structure. We then use analytic continuation to pass from the para-complex to the complex setting and thereby show any 4-dimensional pseudo-Hermitian manifold also admits a unique Kaehler--Weyl structure.