Semi-parallel Meridian Surfaces in $E^4$

Abstract

In the present article we study a special class of surfaces in the four-dimensional Euclidean space, which are one-parameter systems of meridians of the standard rotational hypersurface. They are called meridian surfaces. We classified semi-parallel meridian surface in 4-dimensional Euclidean space $E^4$.

7 pages. arXiv admin note: substantial text overlap with arXiv:1305.2336; text overlap with arXiv:0905.4453 by other authors