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- W1995460386 abstract "We introduce higher order variants of the Yang–Mills functional that involve ((n-2))-th order derivatives of the curvature. We prove coercivity and smoothness of critical points in Uhlenbeck gauge in dimensions (mathrm {dim}Mle 2n). These results are then used to establish the existence of smooth minimizers on a given principal bundle (Prightarrow M) for subcritical dimensions (mathrm {dim}M<2n). In the case of critical dimension (mathrm {dim}M=2n) we construct a minimizer on a bundle which might differ from the prescribed one, but has the same Chern classes (c_1,ldots ,c_{n-1}). A key result is a removable singularity theorem for bundles carrying a (W^{n-1,2})-connection. This generalizes a recent result by Petrache and Riviere." @default.
- W1995460386 created "2016-06-24" @default.
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- W1995460386 date "2015-02-11" @default.
- W1995460386 modified "2023-10-18" @default.
- W1995460386 title "Minimizers of Higher Order Gauge Invariant Functionals" @default.
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- W1995460386 doi "https://doi.org/10.1007/s12220-015-9584-8" @default.
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