Tzitzeica-Type centro-affine invariants in Minkowski spaces

Abstract

In this article we introduce three centro-affine invariant functions in Minkowski spaces. Tzitzeica curves and Tzitzeica surfaces may be defined in this new context. Our main results allow us to understand the connections between Tzitzeica curves and surfaces in Minkowski spaces and the original Tzitzeica curves and surfaces from the Euclidian space

Keywords

• tzitzeica curve
• tzitzeica surface
• centro-affine invariants
• minkowski space