Effective \(L_p\) pinching for the concircular curvature
According to the work of \textit{G. Huisken} [J. Differ. Geom. 21, 47-62 (1985; Zbl 0606.53026)], \textit{C. Margerin} [Proc. Symp. Pure Math. 44, 307-328 (1986; Zbl 0587.53042); C. R. Acad. Sci., Paris, Sér., Paris, Sér. I 303, 877-880 (1986; Zbl 0607.53027); see also \textit{A. L. Besse}, in: Duration and change: fifty years at Oberwolfach (Springer, Berlin), 71-105 (1994; Zbl 0811.53001)] and \textit{S. Nishikawa} [Proc. Symp. Pure Math. 44, 343-352 (1986; Zbl 0589.53046)], we know that effective \(L_\infty\) pinching assumptions on the concircular curvature lead to the existence of a metric of constant positive sectional curvature. But what can we say under effective \(L_p\) pinching assumptions? Partial answers are given.
scientific article; zbMATH DE number 1191283
scientific article