In the earlier study Riemann surfaces, one was interested in the embeddability of Riemann surfaces in Euclidean spaces. Complex Analysists showed that any Riemann surface can be embedded in Euclidean 3 -space. But recently, this problem has been conve...
In the earlier study Riemann surfaces, one was interested in the embeddability of Riemann surfaces in Euclidean spaces. Complex Analysists showed that any Riemann surface can be embedded in Euclidean 3 -space. But recently, this problem has been conveyed to problem in the Riemannian manifolds. In this paper we investigate the history and very recent results of problem in affordable and systematic manner.