JP Journal of Geometry and Topology
Volume 9, Issue 3, Pages 225 - 237
(November 2009)
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INFINITESIMAL HOLOMORPHICALLY PROJECTIVE TRANSFORMATIONS ON TANGENT BUNDLES WITH RESPECT TO THE SYNECTIC METRIC TENSOR
A. Gezer, K. Akbulut and A. A. Salimov
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Abstract: In this paper, we find solutions of a system of partial differential equations which characterize infinitesimal holomorphically projective transformation on TM with Levi-Civita connection of the synectic metric and an adapted almost complex structure. Further, we investigate necessary conditions in order that TM admits a non-affine infinitesimal holomorphically projective transformation. |
Keywords and phrases: Communicated by Yasuo Matsushita |
Communicated by Yasuo Matsushita |
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