Makale
Tam Makale
Uluslararası
2011
On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric
PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES
Cilt 60 · Sayı 3 · ss. 149–157 · 01.01.2011
Özet
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.
Anahtar kelimeler
Sasaki metric
CURVATURE
MANIFOLDS
almost complex structures
infinitesimal holomorphically projective transformation
Atıf için künye
Gezer, A. (2011). On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric. PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES, 60(3), 149–157. https://doi.org/10.3176/proc.2011.3.02
BibTeX
@article{gezer2011-73763,
author = {Gezer, Aydın},
title = {On infinitesimal holomorphically projective transformations on the tangent bundles with respect to the Sasaki metric},
journal = {PROCEEDINGS OF THE ESTONIAN ACADEMY OF SCIENCES},
year = {2011},
volume = {60},
number = {3},
pages = {149--157},
issn = {1736-6046},
doi = {10.3176/proc.2011.3.02},
url = {https://akademik.atauni.edu.tr/yayinlar/73763-on-infinitesimal-holomorphically-projective-transformations-on-the-tangent}
}