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ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 1999; 14(1): 189-200

Printed March 1, 1999

Copyright © The Korean Mathematical Society.

Surfaces of 1-Type Gauss Map with Flat Normal Connection

Changrim Jang, Keun Park

University of Ulsan, University of Ulsan

Abstract

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In this paper, we proved that the only surfaces of 1-type Gauss map with flat normal connection are spheres, products of two plane circles and helical cylinders.

Keywords: 1-type Gauss map, flat normal connection, Laplacian

MSC numbers: 53A05

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