20 citations · 38 across the 7 of their papers we have counts for
7 papers
On Geometric Spectral Functionals
Arkadiusz Bochniak, Ludwik Dąbrowski, Andrzej Sitarz +1
We investigate spectral functionals associated with Dirac and Laplace-type differential operators on manifolds, defined via the Wodzicki residue, extending classical results for Di…
An impediment to torsion from spectral geometry
Arkadiusz Bochniak, Ludwik Dąbrowski, Andrzej Sitarz +1
Modifications of standard general relativity that bring torsion into a game have a long-standing history. However, no convincing arguments exist for or against its presence in phys…
Spectral Torsion
Ludwik Dąbrowski, Andrzej Sitarz, Paweł Zalecki
We introduce a trilinear functional of differential one-forms for a finitely summable regular spectral triple with a noncommutative residue. We demonstrate that for a canonical spe…
Spectral Metric and Einstein Functionals for Hodge-Dirac operator
Ludwik Dąbrowski, Paweł Zalecki, Andrzej Sitarz
We examine the metric and Einstein bilinear functionals of differential forms introduced in Adv.Math.,Vol.427,(2023)1091286, for Hodge-Dirac operator on an oriented even-dime…
Spectral Metric and Einstein Functionals
Ludwik Dąbrowski, Andrzej Sitarz, Paweł Zalecki
We define bilinear functionals of vector fields and differential forms, the densities of which yield the metric and Einstein tensors on even-dimensional Riemannian manifolds. We ge…
Riemannian Geometry of a Discretized Circle and Torus
Arkadiusz Bochniak, Andrzej Sitarz, Paweł Zalecki
We extend the results of Riemannian geometry over finite groups and provide a full classification of all linear connections for the minimal noncommutative differential calculus ove…
Pseudo-Riemannian Structures in Pati-Salam models
Arkadiusz Bochniak, Thomas E. Williams, Paweł Zalecki
We discuss the role of the pseudo-Riemannian structure of the finite spectral triple for the family of Pati-Salam models. We argue that its existence is a very restrictive conditio…