TY - JOUR
T1 - Curvature Computations of 2-Manifolds in $\mathbb{R}^k$
AU - Xu , Guo-Liang
AU - Bajaj , Chandrajit L.
JO - Journal of Computational Mathematics
VL - 5
SP - 681
EP - 688
PY - 2003
DA - 2003/10
SN - 21
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/10246.html
KW - Riemannian curvature, Mean curvature vector, Principal curvatures, Principal directions.
AB - <p style="text-align: justify;">In this paper, we provide simple and explicit formulas for computing Riemannian curvatures, mean curvature vectors, principal curvatures and principal directions for a 2-dimensional Riemannian manifold embedded in $R^k$ with $k\geq3$.</p>