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

被引：0
|
作者：
Yong Wang
机构：
[1] Zhejiang University,Center of Mathematical Sciences
[2] Northeast Normal University,School of Mathematics and Statistics
来源：
Letters in Mathematical Physics | 2006年 / 77卷
关键词：
noncommutative residue for manifolds with boundary; non-product metric; conformal invariant; noncommutative differential geometry; noncommutative global analysis; 58G20; 53A30; 46L87;
D O I：
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学科分类号：
摘要：
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.
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页码：41 / 51
页数：10
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