THE HOMOGENEOUS LIFT TO THE (1, 1)-TENSOR BUNDLE OF A RIEMANNIAN METRIC
2013 ◽
Vol 10
(04)
◽
pp. 1350006
◽
Keyword(s):
By using a Riemannian metric on a differentiable manifold, the homogeneous lift metric is introduced on the (1, 1)-tensor bundle of the Riemannian manifold. Some geometric objects related to this metric, such as the Levi-Civita connection, Riemannian curvature tensor and sectional curvature are calculated. Also, a para-Nordenian structure on the (1, 1)-tensor bundle with this metric is constructed and interesting properties of this structure are studied.
2002 ◽
Vol 45
(2)
◽
pp. 232-246
◽
2007 ◽
Vol 2007
◽
pp. 1-8
◽
2021 ◽
Vol ahead-of-print
(ahead-of-print)
◽
1985 ◽
Vol 97
◽
pp. 173-192
◽
Keyword(s):