-
- BRADLOW STEVEN B.
- DEPARTMENT OF MATHEMATICS UNIVERSITY OF ILLINOIS
-
- GLAZEBROOK JAMES F.
- DEPARTMENT OF MATHEMATICS UNIVERSITY OF ILLINOIS DEPARTMENT OF MATHEMATICS EASTERN ILLINOIS UNIVERSITY
-
- KAMBER FRANZ W.
- DEPARTMENT OF MATHEMATICS UNIVERSITY OF ILLINOIS
書誌事項
- タイトル別名
-
- Reduction of the Hermitian-Einstein equation on K\"ahlerian fiber bundles
この論文をさがす
抄録
The technique of dimensional reduction of an integrable system usually requires symmetry arising from a group action. In this paper we study a situation in which a dimensional reduction can be achieved despite the absence of any such global symmetry. We consider certain holomorphic vector bundles over a Kahler manifold which is itself the total space of a fiber bundle over a Kahler manifold. We establish an equivalence between invariant solutions to the Hermitian-Einstein equations on such bundles, and general solutions to a coupled system of equations defined on holomorphic bundles over the base Kahler manifold. The latter equations are the Coupled Vortex Equations. Our results thus generalize the dimensional reduction results of García-Prada, which apply when the fiber bundle is a product and the fiber is the complex projective line.
収録刊行物
-
- Tohoku Mathematical Journal, Second Series
-
Tohoku Mathematical Journal, Second Series 51 (1), 81-123, 1999
東北大学大学院理学研究科数学専攻
- Tweet
キーワード
詳細情報 詳細情報について
-
- CRID
- 1390282680094936704
-
- NII論文ID
- 110000026871
-
- NII書誌ID
- AA00863953
-
- ISSN
- 2186585X
- 00408735
-
- MRID
- 1671747
-
- 本文言語コード
- en
-
- データソース種別
-
- JaLC
- Crossref
- CiNii Articles
-
- 抄録ライセンスフラグ
- 使用不可