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Search: All articles in the CJM digital archive with keyword connection

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1. CJM 2010 (vol 62 pp. 1037)

Calviño-Louzao, E.; García-Río, E.; Vázquez-Lorenzo, R.
 Riemann Extensions of Torsion-Free Connections with Degenerate Ricci Tensor {Correspondence} between torsion-free connections with {nilpotent skew-symmetric curvature operator} and IP Riemann extensions is shown. Some consequences are derived in the study of four-dimensional IP metrics and locally homogeneous affine surfaces. Keywords:Walker metric, Riemann extension, curvature operator, projectively flat and recurrent affine connectionCategories:53B30, 53C50

2. CJM 2006 (vol 58 pp. 262)

Biswas, Indranil
 Connections on a Parabolic Principal Bundle Over a Curve The aim here is to define connections on a parabolic principal bundle. Some applications are given. Keywords:parabolic bundle, holomorphic connection, unitary connectionCategories:53C07, 32L05, 14F05

3. CJM 2004 (vol 56 pp. 1228)

Ho, Nan-Kuo; Liu, Chiu-Chu Melissa
 On the Connectedness of Moduli Spaces of Flat Connections over Compact Surfaces We study the connectedness of the moduli space of gauge equivalence classes of flat $G$-connections on a compact orientable surface or a compact nonorientable surface for a class of compact connected Lie groups. This class includes all the compact, connected, simply connected Lie groups, and some non-semisimple classical groups. Keywords:moduli space of flat $G$ connectionsCategory:53
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