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Letters in Mathematical Physics

, Volume 77, Issue 1, pp 41–51 | Cite as

Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case

  • Yong Wang
Article

Abstract

In this Letter, for an even-dimensional compact manifold with boundary which has the non-product metric near the boundary, we use the noncommutative residue to define a conformal invariant pair. For a four-dimensional manifold, we compute this conformal invariant pair under some conditions and point out the way of computations in the general.

Keywords

noncommutative residue for manifolds with boundary non-product metric conformal invariant 

Subject Classifications

noncommutative differential geometry noncommutative global analysis 

Mathematics Subject Classifications (2000)

58G20 53A30 46L87 

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Copyright information

© Springer 2006

Authors and Affiliations

  1. 1.Center of Mathematical SciencesZhejiang UniversityHangzhou ZhejiangChina
  2. 2.School of Mathematics and StatisticsNortheast Normal UniversityJilinChina

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