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

Yong Wang
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Abstract

In this paper, 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 4-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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BibTeXRIS

Yong Wang. 2006-09-02. Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case. https://doi.org/10.1007/s11005-006-0078-2

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