Abstract
A Riemannian manifold (M, g) determines on the tangent bundle TM an important pseudo-Riemannian structure G.
In this paper we will determine an almost product structure Q on TM, which depends only on the metric g and we will study the parakaehlerian structure(G, Q) on TM, in the case when G is a given pseudo-Riemannian structure.
Some particular cases are pointed out and we pay attention to homogeneous cases.
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Stoica, E. (2003). Remarkable Natural Almost Parakaehlerian Structures on the Tangent Bundle. In: Anastasiei, M., Antonelli, P.L. (eds) Finsler and Lagrange Geometries. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0405-2_23
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DOI: https://doi.org/10.1007/978-94-017-0405-2_23
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6325-0
Online ISBN: 978-94-017-0405-2
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