Removable singularities for sections of Riemannian submersions of prescribed mean curvature (Q1028275)

The authors prove that isolated singularities of sections with prescribed mean curvature of a Riemannian submersion fibered by geodesics of a vertical Killing field, are removable. Also, they obtain information on the growth of the difference of two sections \(u,v:\Omega \rightarrow \overline{M}\), having the same prescribed mean curvature and \(u=v\) on \(\partial\Omega\). This generalizes Theorem 2 of [\textit{P. Collin} and \textit{R. Krust}, Bull. Soc. Math. Fr. 119, No.~4, 443--462 (1991; Zbl 0754.53013)].