CLASSIFICATIONS OF HELICOIDAL SURFACES WITH L1-POINTWISE 1-TYPE GAUSS MAP

Title & Authors
CLASSIFICATIONS OF HELICOIDAL SURFACES WITH L1-POINTWISE 1-TYPE GAUSS MAP
Kim, Young Ho; Turgay, Nurettin Cenk;

Abstract
In this paper, we study rotational and helicoidal surfaces in Euclidean 3-space in terms of their Gauss map. We obtain a complete classification of these type of surfaces whose Gauss maps G satisfy \$L_1G
Keywords
Gauss map;$\small{L_1}$-pointwise 1-type;Cheng-Yau operator;rotational surface;helicoidal surface;Lie point symmetry;
Language
English
Cited by
1.
RULED SURFACES AND GAUSS MAP,;

대한수학회보, 2015. vol.52. 5, pp.1661-1668
1.
RULED SURFACES AND GAUSS MAP, Bulletin of the Korean Mathematical Society, 2015, 52, 5, 1661
2.
Invariant surfaces with pointwise 1-type Gauss map in Sol3, Journal of Geometry, 2015, 106, 3, 503
3.
Classifications of Canal Surfaces with L1-Pointwise 1-Type Gauss Map, Milan Journal of Mathematics, 2015, 83, 1, 145
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