Kelleci, AlevTurgay, Nurettin CenkErgüt, Mahmut2022-05-112022-05-1120191660-54461660-5454https://doi.org/10.1007/s00009-019-1376-0https://hdl.handle.net/20.500.11776/7441In 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.en10.1007/s00009-019-1376-0info:eu-repo/semantics/openAccessEuclidean spacesgeneralized constant ratio submanifoldsconstant slope surfacesposition vectorcanonical principal directionMinkowskiClassificationSubmanifoldsArticle164Q1WOS:0004725380000132-s2.0-85067839729Q2