Authors: Cornelia-Livia Bejan

DOI: 10.24064/iwts2016.2017.3

Abstract: Let $(M,\nabla)$ be a manifold with a symmetric linear connection. The natural Riemann extension $\overline{g}$ (defined by Kowalski-Sekizawa) generalizes the Riemann extension (introduced by Patterson-Walker). The harmonic morphisms form a special class of harmonic maps, with many applications [1]. On $(T^{*}M,\overline{g})$ we obtain here a para-Hermitian structure, we construct a harmonic morphism and we generalize a result of [2].

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