On surfaces endowed with canonical principal direction in Euclidean spaces

2018/04/11 by Alev Kelleci, Kelleci, Alev, Nurettin Cenk Turgay +3
Engineering · Mathematics · #53A35 #53B25(Primary) #53C50 (Secondary) #Advanced Numerical Analysis Techniques #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53A35 #msc:53C50

paper · pdf · doi:10.48550/arxiv.1804.04705

11 pages. arXiv admin note: text overlap with arXiv:1804.00721

arxiv created 2018/04/11 · openalex publication_date 2018/04/11 · arxiv updated 2018/04/16 · openalex created_date 2022/08/15 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• On generalized constant ratio surfaces with higher codimension

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