Applications of the quaternionic Jordan form to hypercomplex geometry

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Discrete subgroups of Lie groups (22E40) Nilpotent and solvable Lie groups (22E25)

Cites Work

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On low-dimensional solvmanifolds
Subvarieties of hypercomplex manifolds with holonomy in \(SL(n,\mathbb H)\)
Cocalibrated structures on Lie algebras with a codimension one Abelian ideal
Balanced HKT metrics and strong HKT metrics on hypercomplex manifolds
Complex analytic coordinates in almost complex manifolds
Compact hypercomplex and quaternionic manifolds
Hyperkähler metrics and supersymmetry
Curvatures of left invariant metrics on Lie groups
Hypercomplex eight-dimensional nilpotent Lie groups.
Twistor spaces for hyper-Kähler manifolds with torsion
Lattices in almost abelian Lie groups with locally conformal Kähler or symplectic structures
Properties of manifolds with skew-symmetric torsion and special holonomy
Generalized Kähler almost abelian Lie groups
Left-invariant symplectic structures on diagonal almost abelian Lie groups
A parabolic approach to the Calabi-Yau problem in HKT geometry
Existence of HKT metrics on hypercomplex manifolds of real dimension 8
Factor spaces of solvable groups
Balanced Hermitian structures on almost abelian Lie algebras
Explicit harmonic and spectral analysis in Bianchi I-VII-type cosmologies
Topics in quaternion linear algebra
Holonomy of the Obata connection on \(SU(3)\)
HKT manifolds with holonomy SL\((n,H)\)
Structure and Geometry of Lie Groups
Hypercomplex structures on four-dimensional Lie groups
On the Chern-Ricci flow and its solitons for Lie groups
A Note on Hyperhermitian Four-Manifolds
Métriques kählériennes et fibrés holomorphes
A Sufficient Condition for All the Roots of a Polynomial To Be Real
The structure of almost Abelian Lie algebras
Lattices, cohomology and models of six dimensional almost abelian solvmanifolds
Hypercomplex almost abelian solvmanifolds
Harmonic \(\operatorname{G}_2\)-structures on almost abelian Lie groups
Locally conformal SKT almost abelian Lie algebras
Almost abelian Lie groups, subgroups and quotients
Harmonic almost complex structures on almost abelian Lie groups and solvmanifolds
Locally conformally product structures on solvmanifolds
HKT manifolds: Hodge theory, formality and balanced metrics

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