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Published in 2020 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2019.103523
Abstract: Abstract We establish an explicit correspondence between two-dimensional projective structures admitting a projective vector field, and a class of solutions to the S U ( ∞ ) Toda equation. We give several examples of new,…
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Keywords:
metrics projective;
toda equation;
einstein metrics;
projective structures ... See more keywords
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Published in 2018 at "Journal of the Institute of Mathematics of Jussieu"
DOI: 10.1017/s1474748018000129
Abstract: We extend T. Y. Thomas’s 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…
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Keywords:
x1d70c connections;
projective structures;
structures unicode;
stix x1d70c ... See more keywords