On Generalized Constant Ratio Surfaces of Higher Codimension

---

Copy For Citation

KELLECİ A., Turgay N. C., ERGÜT M.

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

• Publication Type: Article / Article
• Volume: 16 Issue: 4
• Publication Date: 2019
• Doi Number: 10.1007/s00009-019-1376-0
• Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Istanbul Technical University Affiliated: Yes

Abstract

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.