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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… Click to show full 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 $${\mathbb {E}}^4$$E4. Then, we get complete local classification of CS surfaces in $${\mathbb {E}}^4$$E4. We also study GCR surfaces in terms of some of its geometrical invariants.
Keywords:
constant ratio;
higher codimension;
generalized constant;
ratio surfaces
Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019
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Journal Title: Mediterranean Journal of Mathematics
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!