Loxodromes on Invariant Surfaces in Three-Manifolds
Sign Up to like & getrecommendations! Published in 2019 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-019-1439-2
Abstract: In this paper, we prove some results concerning the loxodromes on an invariant surface in a three-dimensional Riemannian manifold, a part of which generalizes classical results about loxodromes on rotational surfaces in $${{\mathbb {R}}}^3$$. In… read more here.
Keywords: invariant surface; invariant surfaces; three manifolds; loxodromes invariant ... See more keywords
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