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AI Summary & Key Takeaways
AI Insight⚡ TL;DR(Too Long; Didn't Read)
Then we obtain a classification of surfaces endowed with CPD relative to a fixed direction in Euclidean 4-space.
📌 3 Key Takeaways
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Objective & Hypothesis:In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces.
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Key Findings & Data:In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces.
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Conclusion & Impact:Then we obtain a classification of surfaces endowed with CPD relative to a fixed direction in Euclidean 4-space.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Euclidean spaces · canonical principal direction · angle function
Abstract
In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. Then we obtain a classification of surfaces endowed with CPD relative to a fixed direction in Euclidean 4-space.
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Cite This Article
KELLECİ, A., TURGAY, N. C., ERGÜT, M. (2019). On surfaces endowed with a canonical principal direction in Euclidean 4-spaces. Turkish Journal of Mathematics, Cilt: 43 - Sayı: 4, 1867–1877. https://ajindex.com/articles/208974