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Harmonicity of proper almost complex structures on Walker 4-manifolds

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Every Walker 4-manifold M, endowed with a canonical neutral metric g, admits a specific almost complex structure called proper. In this paper, we find the conditions under which a proper… Click to show full abstract

Every Walker 4-manifold M, endowed with a canonical neutral metric g, admits a specific almost complex structure called proper. In this paper, we find the conditions under which a proper almost complex structure is a harmonic section or a harmonic map from (M,g) to its hyperbolic twistor space.

Keywords: almost complex; walker manifolds; proper almost; harmonicity proper; complex structures; structures walker

Journal Title: International Journal of Geometric Methods in Modern Physics
Year Published: 2017

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