Article contents
PROJECTIVE STRUCTURES AND
$\unicode[STIX]{x1D70C}$-CONNECTIONS
Published online by Cambridge University Press:Â 22 March 2018
Abstract
We extend T. Y. Thomasâs approach to projective structures, over the complex analytic category, by involving the $\unicode[STIX]{x1D70C}$-connections. This way, a better control of 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.
MSC classification
- Type
- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 19 , Issue 2 , March 2020 , pp. 571 - 579
- Copyright
- Š Cambridge University Press 2018
Footnotes
The author acknowledges partial financial support from the Romanian National Authority for Scientific Research, CNCS-UEFISCDI, project no. PN-III-P4-ID-PCE-2016-0019.
References
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