Potentials for Hyper- Kähler Metrics with Torsion

Bertrand Banos (1) , Andrew Swann (2)

1 LMBA - Laboratoire de Mathématiques de Bretagne Atlantique
2 SDU - University of Southern Denmark

We prove that locally any hyper-Kähler metric with torsion admits an HKT potential.

Domaines: Géométrie différentielle [math.DG]; Equations aux dérivées partielles [math.AP]; Physique mathématique [math-ph]

Bertrand Banos, Andrew Swann. Potentials for Hyper- Kähler Metrics with Torsion. Classical and Quantum Gravity, 2004, 21 (13), pp.3127-3135. ⟨10.1088/0264-9381/21/13/004⟩. ⟨hal-01308504⟩