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2014 RULED SUBMANIFOLDS WITH HARMONIC GAUSS MAP
Dong-Soo Kim, Young Ho Kim, Sun Mi Jung
Taiwanese J. Math. 18(1): 53-76 (2014). DOI: 10.11650/tjm.18.2014.3226

Abstract

Ruled submanifolds of Minkowski space with harmonic Gauss map are studied. Apart from ruled submanifolds in Euclidean space, ruled submanifolds with degenerate rulings in Minkowski space draw our attention. In particular, we completely classify ruled submanifolds with harmonic Gauss map and we also characterize minimal ruled submanifolds with degenerate rulings by means of harmonic Gauss map.

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Dong-Soo Kim. Young Ho Kim. Sun Mi Jung. "RULED SUBMANIFOLDS WITH HARMONIC GAUSS MAP." Taiwanese J. Math. 18 (1) 53 - 76, 2014. https://doi.org/10.11650/tjm.18.2014.3226

Information

Published: 2014
First available in Project Euclid: 10 July 2017

zbMATH: 1357.53059
MathSciNet: MR3162113
Digital Object Identifier: 10.11650/tjm.18.2014.3226

Subjects:
Primary: 53A04 , 53A05 , 53A07

Keywords: $G$-kind ruled submanifold , degenerate ruling , gauss map , Grassmannian manifold , non-degenerate ruling , ruled submanifold

Rights: Copyright © 2014 The Mathematical Society of the Republic of China

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Vol.18 • No. 1 • 2014
Mathematical Society of the Republic of China
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