In this note we introduce the concept of (?,?’)-holomorphic map between two almost quaternionic Hermitian manifolds. We prove that a (?,?’)-holomorphic map between two quaternionic Kähler manifolds with a certain property is a harmonic map and give some conditions for the stability of such a map.
Harmonic maps between quaternionic Kähler manifolds / Mazzocco, Renzo; Ianus, S; Vilcu, G. E.. - In: JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS. - ISSN 1402-9251. - STAMPA. - 15:(2008), pp. 1-8. [10.2991/jnmp.2008.15.1.1]
Harmonic maps between quaternionic Kähler manifolds
MAZZOCCO, Renzo;
2008
Abstract
In this note we introduce the concept of (?,?’)-holomorphic map between two almost quaternionic Hermitian manifolds. We prove that a (?,?’)-holomorphic map between two quaternionic Kähler manifolds with a certain property is a harmonic map and give some conditions for the stability of such a map.File allegati a questo prodotto
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