A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2018; you can also visit the original URL.
The file type is application/pdf
.
On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric
2011
Proceedings of the Estonian Academy of Sciences
The purpose of the present article is to find solutions to a system of partial differential equations that characterize infinitesimal holomorphically projective transformations on the tangent bundle with the Sasaki metric and an adapted almost complex structure. Moreover, it is proved that if the tangent bundle of a Riemannian manifold admits a non-affine infinitesimal holomorphically projective transformation, then the Riemannian manifold is locally flat.
doi:10.3176/proc.2011.3.02
fatcat:fp72t3tqcncipgmsh5uordaqpe