Nonexistence theorems for Yang-Mills fields and harmonic maps in the Schwarzschild spacetime. II
We continue the study of the nonexistence of static pure Yang-Mills fields and harmonic maps defined on the Schwarzschild spacetime outside the black hole. Both the conditions on the regions and on the energy density are improved. For the case of harmonic maps, the region is precisely the best one, i.e., \(r\geq 2M\), as was conjectured in [ibid., No.3, 253-262 (1987; Zbl 0646.58016)].
scientific article; zbMATH DE number 4084595