The main purpose of this paper is to investigate some relations between the flatness or locally symmetric property on the tangent bundle TM equipped with the metric II+III and the same property on the base manifold M and study geodesics by means of the adapted frame on TM.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-1-6,
author = {A. Gezer and O. Tarakci and A. A. Salimov},
title = {On the geometry of tangent bundles with the metric II+III},
journal = {Annales Polonici Mathematici},
volume = {98},
year = {2010},
pages = {73-85},
zbl = {1186.53057},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-1-6}
}
A. Gezer; O. Tarakci; A. A. Salimov. On the geometry of tangent bundles with the metric II+III. Annales Polonici Mathematici, Tome 98 (2010) pp. 73-85. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap97-1-6/