Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group
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| Creator |
Biswas, I.
Gómez, T.L. |
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| Description |
We investigate principal G-bundles on a compact Kähler manifold, where G is a complex algebraic group such that the connected component of it containing the identity element is reductive. Defining (semi)stability of such bundles, it is shown that a principal G-bundle EG admits an Einstein-Hermitian connection if and only if EG is polystable. We give an equivalent formulation of the (semi)stability condition. A question is to compare this definition with that of [Gómez T.L., Langer A., Schmitt A.H.W., Sols I., Ramanujan Math. Soc. Lect. Notes Ser., Vol. 10, Ramanujan Math. Soc., Mysore, 2010, 281-371].
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| Date |
2019-02-11T16:35:33Z
2019-02-11T16:35:33Z 2014 |
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| Type |
Article
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| Identifier |
Semistability of Principal Bundles on a Kähler Manifold with a Non-Connected Structure Group / I. Biswas, T.L. Gómez // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 12 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53C07; 14F05 DOI:10.3842/SIGMA.2014.013 http://dspace.nbuv.gov.ua/handle/123456789/146826 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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