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.
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Wang, Y. Differential Forms and the Noncommutative Residue for Manifolds with Boundary in the Non-product Case. Lett Math Phys 77, 41–51 (2006). https://doi.org/10.1007/s11005-006-0078-2
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DOI: https://doi.org/10.1007/s11005-006-0078-2