Journal Article10.1007/BF01457009
Quaternionic reduction and quaternionic orbifolds
Krzysztof Galicki,H. B. Lawson +1 more
155
TL;DR: In this article, a processus de reduction for des varietes de Kahler quaternioniques is discussed, and a certain application impulsion which se reduit a celle classique quand la courbure scalaire K de l'espace is zero (et les metriques deviennent hyperkahler).
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Abstract: On considere un processus de reduction pour des varietes de Kahler quaternioniques. On montre qu'il existe dans ce cas une certaine application impulsion qui se reduit a celle classique quand la courbure scalaire K de l'espace est zero (et les metriques deviennent hyperkahler). Quand K¬=0 cette application impulsion est definie de facon unique pour un groupe compact d'automorphismes H
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Citations
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The geometry and topology of 3-Sasakian manifolds.
TL;DR: In this paper, the geometry and topology of a class of Riemannian Einstein manifolds that is closely related to both hyperkähler and quaternionic Kahler manifolds are described.
226
A Generalization of the Momentum Mapping Construction for Quaternionic Kahler Manifolds
TL;DR: In this article, the Marsden-Weinstein construction for symplectic manifolds is generalized to the non-symplectic geometry of the quaternionic Kahler case, and the Wolf spaces can be obtained as the U(1) and SU(2) quotients of quaternion projective spaceHP(n).
211
A 7-manifold with positive curvature
TL;DR: In this article, the existence of a metric of positive sectional curvature on the 3-Sasakian 7-manifold over Hitchin's self-dual Einstein orbifold with k = 5 was shown.
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•Book Chapter
An introduction to Lie groups and symplectic geometry
Robert L. Bryant
- 01 Jan 1995
TL;DR: A series of nine lectures on Lie groups and symplectic geometry was given at the 1991 Regional Geometry Institute at Park City, Utah starting on 24 June and ending on 11 July as mentioned in this paper.
Wall-crossing, Rogers dilogarithm, and the QK/HK correspondence
TL;DR: In this paper, the D-instanton corrected hypermultiplet moduli space and the Coulomb branch of rigid N = 2 gauge theories on R^3 x S^1 are similar and, to a large extent, dictated by consistency with wall-crossing.
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Reduction of symplectic manifolds with symmetry
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Stability and isolation phenomena for Yang-Mills fields
TL;DR: In this paper, a series of results concerning Yang-Mills fields over the euclidean sphere and other locally homogeneous spaces are proved using differential geometric methods using differential geometry.
A Generalization of the Momentum Mapping Construction for Quaternionic Kahler Manifolds
TL;DR: In this article, the Marsden-Weinstein construction for symplectic manifolds is generalized to the non-symplectic geometry of the quaternionic Kahler case, and the Wolf spaces can be obtained as the U(1) and SU(2) quotients of quaternion projective spaceHP(n).
211