A Kastler-Kalau-Walze type theorem for the J-twist DJ of the Dirac operator

Abstract

In this paper, we give a Lichnerowicz type formula for the J-twist DJ of the Dirac operator. And we prove a Kastler-Kalau-Walze type theorem for the J-twist DJ of the Dirac operator on 3-dimensional and 4-dimensional almost product Riemannian spin manifold with boundary.

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