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Spectral metric and Einstein functionals.
- Source :
-
Advances in Mathematics . Aug2023, Vol. 427, pN.PAG-N.PAG. 1p. - Publication Year :
- 2023
-
Abstract
- 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 generalise these concepts in non-commutative geometry and, in particular, we prove that for the conformally rescaled geometry of the noncommutative two-torus the Einstein functional vanishes. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00018708
- Volume :
- 427
- Database :
- Academic Search Index
- Journal :
- Advances in Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 164179435
- Full Text :
- https://doi.org/10.1016/j.aim.2023.109128