Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
The Cotton tensor and Chern-Simons invariants in dimension 3: an introduction
Authors: Sergiu Moroianu
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Abstract
We review, with complete proofs, the theory of Chern-Simons invariants for oriented Riemannian 3-manifolds. The Cotton tensor is the first-order variation of the Chern-Simons invariant. We deduce that it is conformally invariant, and trace- and divergence-free, from the corresponding properties of the Chern-Simons invariant. Moreover, the Cotton tensor vanishes if and only if the metric is locally conformally flat. In the last part of the paper we survey the link of Chern-Simons invariants with the eta invariant and with the central value of the Selberg zeta function of odd type.Institutul de Matematică al Academiei Române
P.O. Box 1-764
RO-014700 Bucharest, Romania
E-mail:
P.O. Box 1-764
RO-014700 Bucharest, Romania
E-mail:
Fulltext
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Contents
- The Cotton tensor and Chern-Simons invariants in dimension 3: an introduction
- Lower bound on product of binomial coefficients
- On 2-absorbing Primary Subsemimodules over Commutative Semirings
- Solvability of a nonlinear integral equation arising in kinetic theory
- Relation between Levinson center, chain recurrent set and center of Birkhoff for compact dissipative dynamical systems
- Free rectangular tribands
- Estimates of stability radius of multicriteria Boolean problem with Hölder metrics in parameter spaces
- On Soft Trees
- On LCA groups with locally compact rings of continuous endomorphisms. II
- A note on weak structures due to Császár
