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On surfaces endowed with canonical principal direction in Euclidean spaces

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arXiv

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In this paper, we introduce canonical principal direction (CPD) submanifolds with higher codimension in Euclidean spaces. We obtain the complete classification of surfaces endowed with CPD in the Euclidean 4-space.
11 pages. arXiv admin note: text overlap with arXiv:1804.00721

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OPEN

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Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, B25(Primary), 53A35, 53C50 (Secondary)

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