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http://dx.doi.org/10.4134/BKMS.2015.52.6.2035

SPECIAL CLASSES OF MERIDIAN SURFACES IN THE FOUR-DIMENSIONAL EUCLIDEAN SPACE  

GANCHEV, GEORGI (Institute of Mathematics and Informatics Bulgarian Academy of Sciences)
MILOUSHEVA, VELICHKA (Institute of Mathematics and Informatics Bulgarian Academy of Sciences)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.6, 2015 , pp. 2035-2045 More about this Journal
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; Chen surfaces; surfaces with parallel normal bundle;
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