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Metrical almost product structures on the cotangent bundle. (English) Zbl 0790.53034
Szenthe, J. (ed.) et al., Differential geometry and its applications. Proceedings of a colloquium, held in Eger, Hungary, August 20-25, 1989, organized by the János Bolyai Mathematical Society. Amsterdam: North- Holland Publishing Company. Colloq. Math. Soc. János Bolyai. 56, 75-86 (1992).
On the total space $$T^*M$$ of a cotangent bundle $$(T^*M,\pi^*,M)$$ one considers a metrical almost product structure $$(G,Q)$$. The authors determine the set of all $$d$$-connections $$\hat D$$ compatible with $$(G,Q)$$. Some geometrical properties of $$\hat D$$ and the integrability of $$(G,Q)$$ are discussed, too.
For the entire collection see [Zbl 0764.00002].
Reviewer: R.Miron (Iaşi)
##### MSC:
 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) 53C05 Connections (general theory)