Abstract
Any transversally holomorphic foliated map \(\varphi :(M,\mathcal{F}) \to (M\prime ,\mathcal{F}\prime )\) of Kählerianfoliations with \(\mathcal{F}\) harmonic, is shown to be a transversallyharmonic map and an absolute minimum of the energy functional \(E_T (\varphi ) = \frac{1}{2}\int {_M } \left\| {{\text{d}}_T \varphi } \right\|^2 \mu \) inits foliated homotopy class.
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Barletta, E., Dragomir, S. On Transversally Holomorphic Maps of Kählerian Foliations. Acta Applicandae Mathematicae 54, 121–134 (1998). https://doi.org/10.1023/A:1006068114075
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DOI: https://doi.org/10.1023/A:1006068114075