A Note On Differential Geometry Of The Curves In E4

Autor: Suha Yilmaz, Suur Nizamoglu, Melih Turgut
Rok vydání: 2008
Předmět:
DOI: 10.5281/zenodo.820958
Popis: In this note, we prove that every regular curve in four dimensional Euclidean space satisfies a vector differential equation of fifth order. Thereafter, in the same space, a relation among curvatures functions of inclined curves is obtained in terms of harmonic curvatures, which is related with Smarandache geometries.
Databáze: OpenAIRE