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.
KELLECİ, ALEV; TURGAY, NURETTİN CENK; and ERGÜT, MAHMUT
"On surfaces endowed with a canonical principal direction in Euclidean 4-spaces,"
Turkish Journal of Mathematics: Vol. 43:
4, Article 5.
Available at: https://journals.tubitak.gov.tr/math/vol43/iss4/5