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On a minimum of Yang-Mills functional on quantum Heisenberg manifolds

Operator Algebras 2010-09-15 v4 Differential Geometry

Abstract

In this paper, we study the Yang-Mills functional on quantum Heisenberg manifolds using the appratuses developed by A. Connes and M. Rieffel. It is discovered that a connection on a projective module over a quantum Heisenberg manifold is a minimum of Yang-Mills functional whicih is a critical point that is different with critical points found by S. Kang.

Keywords

Cite

@article{arxiv.0907.0465,
  title  = {On a minimum of Yang-Mills functional on quantum Heisenberg manifolds},
  author = {Hyun Ho Lee},
  journal= {arXiv preprint arXiv:0907.0465},
  year   = {2010}
}

Comments

13 pages, Final version