Invariant surfaces with coordinate finite-type Gauss map in simply isotropic space
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124673
Abstract: Abstract We consider the extrinsic geometry of surfaces in simply isotropic space, a three-dimensional space equipped with a rank 2 metric of index zero. Since the metric is degenerate, a surface normal cannot be unequivocally… read more here.
Keywords: simply isotropic; isotropic space; invariant surfaces; map ... See more keywords
Constructions of helicoidal surfaces by using curvature functions in isotropic space
Sign Up to like & getrecommendations! Published in 2018 at "Hacettepe Journal of Mathematics and Statistics"
DOI: 10.15672/hjms.2018.553
Abstract: In the present paper, we study helicoidal surfaces in the three dimensional isotropic space $\Bbb I^3$ and construct helicoidal surfaces with prescribed Gaussian curvature or mean curvature given by smooth functions. Moreover, we give some… read more here.
Keywords: isotropic space; constructions helicoidal; surfaces using; helicoidal surfaces ... See more keywords