Manifolds with holonomy U∗(2m)
We consider the geometry determined by a torsion-free affine connection whose holonomy lies in the subgroup U∗(2m) , a real form of GL(2m,C) , otherwise denoted by SL(m,H)⋅U(1) . We show in particular how examples may be generated from quaternionic Kähler or hyperkähler manifolds with a circ...
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| Format: | Journal article |
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Springer
2014
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| _version_ | 1826292649853714432 |
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| author | Hitchin, N |
| author_facet | Hitchin, N |
| author_sort | Hitchin, N |
| collection | OXFORD |
| description | We consider the geometry determined by a torsion-free affine connection whose holonomy lies in the subgroup U∗(2m) , a real form of GL(2m,C) , otherwise denoted by SL(m,H)⋅U(1) . We show in particular how examples may be generated from quaternionic Kähler or hyperkähler manifolds with a circle action. |
| first_indexed | 2024-03-07T03:17:57Z |
| format | Journal article |
| id | oxford-uuid:b673a654-3886-450a-890a-df1173231160 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T03:17:57Z |
| publishDate | 2014 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:b673a654-3886-450a-890a-df11732311602022-03-27T04:41:06ZManifolds with holonomy U∗(2m)Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:b673a654-3886-450a-890a-df1173231160Symplectic Elements at OxfordSpringer2014Hitchin, N We consider the geometry determined by a torsion-free affine connection whose holonomy lies in the subgroup U∗(2m) , a real form of GL(2m,C) , otherwise denoted by SL(m,H)⋅U(1) . We show in particular how examples may be generated from quaternionic Kähler or hyperkähler manifolds with a circle action. |
| spellingShingle | Hitchin, N Manifolds with holonomy U∗(2m) |
| title | Manifolds with holonomy U∗(2m) |
| title_full | Manifolds with holonomy U∗(2m) |
| title_fullStr | Manifolds with holonomy U∗(2m) |
| title_full_unstemmed | Manifolds with holonomy U∗(2m) |
| title_short | Manifolds with holonomy U∗(2m) |
| title_sort | manifolds with holonomy u∗ 2m |
| work_keys_str_mv | AT hitchinn manifoldswithholonomyu2m |