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

Georgi Ganchev; Velichka Milousheva

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

Differential Geometry 2016-01-26 v1

Authors: Georgi Ganchev , Velichka Milousheva

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.

Keywords

meridian surfaces euclidean 4-space rotational hypersurface chen surfaces parallel normal bundle invariant theory surface classification differential geometry

Cite

@article{arxiv.1402.5848,
  title  = {Special Classes of Meridian Surfaces in the Four-dimensional Euclidean Space},
  author = {Georgi Ganchev and Velichka Milousheva},
  journal= {arXiv preprint arXiv:1402.5848},
  year   = {2016}
}

Comments

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

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