Tubular Hypersurfaces According to Extended Darboux Frame Field of First Kind in E4

Year 2022, Volume: 7 Issue: 2, 75 - 84, 30.09.2022

Mustafa Altın , Ahmet Kazan

Abstract

In this chapter, we study tubular hypersurfaces according to one of the extended Darboux frame field in Euclidean 4-space. We obtain the Gaussian and mean curvatures of tubular hypersurfaces according to extended Darboux frame field of first kind and give some results for them. Also, we prove a theorem about linear Weingarten tubular hypersurface and construct an example.

Keywords

Tubular hypersurface, Extended Darboux frame field of First Kind, Linear Weingarten hypersurface

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