Published January 1, 2019 | Version v1
Journal article Open

On Generalized Constant Ratio Surfaces of Higher Codimension

  • 1. Firat Univ, Dept Math, TR-23200 Elazig, Turkey
  • 2. Istanbul Tech Univ, Dept Math, TR-34469 Istanbul, Turkey
  • 3. Namik Kemal Univ, Dept Math, TR-59030 Tekirdag, Turkey

Description

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.

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