Potentials for hyper-Kahler metrics with torsion

Abstract

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

9 pages

References in corpus (3)

• Twistor spaces for HKT manifolds
• Geometry of Hyper-Kähler Connections with Torsion
• The Geometry of (Super) Conformal Quantum Mechanics

Cited by in corpus (6)

• Twisting Hermitian and hypercomplex geometries
• Existence of HKT metrics on hypercomplex manifolds of real dimension 8
• Hyper-ParaHermitian manifolds with torsion
• Monge-Ampere equations and generalized complex geometry. The two-dimensional case
• Subvarieties of hypercomplex manifolds with holonomy in SL(n,H)
• Poisson structures on twistor spaces of hyperkaehler and HKT manifolds