Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2015; 52(6): 2035-2045

Printed November 30, 2015

https://doi.org/10.4134/BKMS.2015.52.6.2035

Copyright © The Korean Mathematical Society.

Special classes of meridian surfaces in the four-dimensional Euclidean space

Georgi Ganchev and Velichka Milousheva

Bulgarian Academy of Sciences, ``L. Karavelov" Civil Engineering Higher School

Abstract

Meridian surfaces in the Euclidean 4-space are two-dimen\-sion\-al 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

MSC numbers: Primary 53A55; Secondary 53A07, 53A10

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