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Eisenhart’s problem on the cotangent bundle. (English) Zbl 0790.53024
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, 67-73 (1992).
In this paper the solution of the Eisenhart problem for the general metric on tangent bundle \((TM,\pi,M)\), given by Gh. Atanasiu, M. Hashiguchi and R. Miron [Rep. Fac. Sci., Kagoshima Univ., Math. Phys. Chem. 18, 19-34 (1985; Zbl 0592.53014)], is discussed for the cotangent bundle \((T^*M,\pi^*,M)\).
For the entire collection see [Zbl 0764.00002].
Reviewer: R.Miron (Iaşi)
53B99 Local differential geometry