On Generalized Constant Ratio Surfaces of Higher Codimension

KELLECİ A., Turgay N. C., ERGÜT M.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.16, no.4, 2019 (SCI-Expanded) identifier identifier


In this paper, we introduce constant slope (CS) and generalized constant ratio (GCR) submanifolds with higher codimension in Euclidean spaces. We firstly obtain a classification of GCR surfaces in Euclidean 4-spaces E4. Then, we get complete local classification of CS surfaces in E4. We also study GCR surfaces in terms of some of its geometrical invariants.