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 -

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 $k\geq3$.