Mappings that preserve helices in the n -dimensional Minkowski spaces

Abstract

We introduce two types of mappings that preserve nonnull helices in Minkowski spaces. The first type constructs helices in the n-dimensional Minkowski space from helices in the same Minkowski space. The second type constructs helices in the (n + 1)-dimensional Minkowski space from helices in the n-dimensional Minkowski space. Furthermore, we study invariants of these mappings and present examples. © 2020 World Scientific Publishing Company.