Projective structures and ρ-connections

2016/03/05 by Pantilie, Radu
#53A20 #53B10 #53C56 #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1603.01711

Abstract

We extend T. Y. Thomas's approach to the projective structures, over the complex analytic category, by involving the ρ-connections. This way, a better control of the projective flatness is obtained and, consequently, we have, for example, the following application: if the twistor space of a quaternionic manifold P is endowed with a complex projective structure then P can be locally identified, through quaternionic diffeomorphisms, with the quaternionic projective space.

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