Moser-Trudinger inequalities of vector bundle over a compact Riemannian manifold of dimension 2 (Q859771)

Let \((M,g)\) be a two-dimensional compact Riemannian manifold. The authors employ methods from blowing-up analysis in order to derive various Moser-Trudinger type inequalities for a vector bundle over \((M,g).\) An upper bound is also proved for such inequalities under the assumption that blow-up occurs.