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Harmonic maps on locally conformal almost cosymplectic manifolds
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We investigate harmonic maps on almost contact metric manifolds which are locally conformal to almost cosymplectic manifolds. We obtain the necessary and sufficient conditions for the holomorphy to imply harmonicity and then we find obstructions to the existence of non-constant pluriharmonic maps. We also establish some results on the stability of the identity map on a locally conformal almost cosymplectic manifold of pointwise constant [Formula: see text]-holomorphic sectional curvature.
World Scientific Pub Co Pte Ltd
Title: Harmonic maps on locally conformal almost cosymplectic manifolds
Description:
We investigate harmonic maps on almost contact metric manifolds which are locally conformal to almost cosymplectic manifolds.
We obtain the necessary and sufficient conditions for the holomorphy to imply harmonicity and then we find obstructions to the existence of non-constant pluriharmonic maps.
We also establish some results on the stability of the identity map on a locally conformal almost cosymplectic manifold of pointwise constant [Formula: see text]-holomorphic sectional curvature.
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