Harmonic maps and stability on locally conformal Kähler manifolds |
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| Institution: | Faculty of Mathematics and Computer Sciences, University of Bucharest, Academiei Str. 14, 010014, Bucharest, Romania |
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| Abstract: | We study harmonic and pluriharmonic maps on locally conformal Kähler manifolds. We prove that there are no nonconstant holomorphic pluriharmonic maps from a locally conformal Kähler manifold to a Kähler manifold and that any holomorphic harmonic map from a compact locally conformal Kähler manifold to a Kähler manifold is stable. |
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| Keywords: | Locally conformal Kähler manifold Holomorphic map Harmonic map Stability |
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