Sub-Dirac operators, spectral Einstein functionals and the noncommutative residue

Published 26 Mar 2024 in math.DG | (2403.17461v2)

Abstract: In this paper, we define the spectral Einstein functional associated with the sub-Dirac operator for manifolds with boundary. A proof of the Dabrowski-Sitarz-Zalecki type theorem for spectral Einstein functions associated with the sub-Dirac operator on four-dimensional manifolds with boundary is also given.

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References (2)

J. M. Bismut.: A local index theorem for non Ka¨¨𝑎\ddot{a}over¨ start_ARG italic_a end_ARGhler manifolds. Math. Ann. 284, 681-699 (1989).
B. Opozda.: Bochner¡¯s technique for statistical structures. Ann. Glob. Anal. Geom. 48(4):357-395, (2015).

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