On surfaces endowed with canonical principal direction in Euclidean spaces
Alev Kelleci, Nurettin Cenk Turgay, Mahmut Erg\"ut
TL;DR
This paper introduces the concept of canonical principal direction (CPD) submanifolds of higher codimension in Euclidean spaces and provides a complete classification of CPD surfaces in Euclidean 4-space.
Contribution
It defines CPD submanifolds of higher codimension and classifies all CPD surfaces in Euclidean 4-space, advancing the understanding of their geometric properties.
Findings
Complete classification of CPD surfaces in Euclidean 4-space.
Introduction of CPD submanifolds with higher codimension.
New insights into the geometry of surfaces with canonical principal directions.
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.
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