Special Classes of Meridian Surfaces in the Four-dimensional Euclidean Space

Abstract

Meridian surfaces in the Euclidean 4-space are two-dimensional surfaces which are one-parameter systems of meridians of a standard rotational hypersurface. On the base of our invariant theory of surfaces we study meridian surfaces with special invariants. In the present paper we give the complete classification of Chen meridian surfaces and meridian surfaces with parallel normal bundle.

arXiv comment9 pages. arXiv admin note: substantial text overlap with arXiv:1312.1464; and text overlap with arXiv:1305.3155 by other authors