Higher dimensional minimal submanifolds generalizing the catenoid and helicoid (Q1949978)

The paper consists of five theorems which describe the construction of new minimal surfaces in \(\mathbb R^{n+2}\), \(\mathbb R^{2n+3}\), \(\mathbb H^{2n+3}\), \(\mathbb S^{2n+3}\) originated from complete minimal submanifolds of \(\mathbb S^n\) or from the Clifford torus \(\mathbb S^n(1/\sqrt{2})\times \mathbb S^n(1/\sqrt{2})\). The theorems are proved in detail.