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Complex, contact, Riemannian, pseudo-Riemannian and Finsler geometry, relativity, gauge theory, global analysis.
9
votes
1
answer
584
views
Chern-Simons for 2n-dimensional manifolds
In the literature I can only find Chern-Simons terms for odd-dimensional manifolds. For example, for a $G$-bundle over a 3-dimensional manifold we have $A \wedge dA + 2/3 * A \wedge A \wedge A$ with …
1
vote
1
answer
233
views
Killing Lie algebra action on Lie algebra valued forms
Let $G$ be a Lie group with Lie algebra $\mathfrak{g}$. Let and $P$ a $G$-bundle with a Riemannian base space $(M,g)$. Denote $\mathfrak{h}$ the Lie subalgebra formed by the Killing vector fields with …