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- In der Mathematik sind quaternionische Kähler-Mannigfaltigkeiten ein Forschungsgebiet der Differentialgeometrie. (de)
- In differential geometry, a quaternion-Kähler manifold (or quaternionic Kähler manifold) is a Riemannian 4n-manifold whose Riemannian holonomy group is a subgroup of Sp(n)·Sp(1) for some . Here Sp(n) is the sub-group of consisting of those orthogonal transformations that arise by left-multiplication by some quaternionic matrix, while the group of unit-length quaternions instead acts on quaternionic -space by right scalar multiplication. The Lie group generated by combining these actions is then abstractly isomorphic to . Although the above loose version of the definition includes hyperkähler manifolds, the standard convention of excluding these will be followed by also requiring that the scalar curvature be non-zero— as is automatically true if the holonomy group equals the entire group Sp(n)·Sp(1). (en)
- 미분기하학에서 사원수 켈러 다양체(영어: quaternion-Kähler manifold)는 홀로노미가 Sp(n)×Sp(1)인 리만 다양체다. (ko)
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- 10729 (xsd:nonNegativeInteger)
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- In der Mathematik sind quaternionische Kähler-Mannigfaltigkeiten ein Forschungsgebiet der Differentialgeometrie. (de)
- 미분기하학에서 사원수 켈러 다양체(영어: quaternion-Kähler manifold)는 홀로노미가 Sp(n)×Sp(1)인 리만 다양체다. (ko)
- In differential geometry, a quaternion-Kähler manifold (or quaternionic Kähler manifold) is a Riemannian 4n-manifold whose Riemannian holonomy group is a subgroup of Sp(n)·Sp(1) for some . Here Sp(n) is the sub-group of consisting of those orthogonal transformations that arise by left-multiplication by some quaternionic matrix, while the group of unit-length quaternions instead acts on quaternionic -space by right scalar multiplication. The Lie group generated by combining these actions is then abstractly isomorphic to . (en)
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- Quaternionische Kähler-Mannigfaltigkeit (de)
- 사원수 켈러 다양체 (ko)
- Quaternion-Kähler manifold (en)
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