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# Harmonicity and minimality of complex and quaternionic radial foliations

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## Abstract

We construct special classes of totally geodesic almost regular foliations, namely, complex radial foliations in Hermitian manifolds and quaternionic radial foliations in quaternionic Kähler manifolds, and we give criteria for their harmonicity and minimality. Then examples of these foliations on complex and quaternionic space forms, which are harmonic and minimal, are presented.

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Energy of generalized distributions, Differential Geom CrossrefGoogle Scholar
• J C Gonzálezdávila