Statistical de Rham Hodge operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary

Abstract

In this paper, we give the Lichnerowicz type formulas for statistical de Rham Hodge operators. Moreover, Kastler-Kalau-Walze type theorems for statistical de Rham Hodge operators on compact manifolds with (respectively without) boundary are proved.

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