@Article{JCM-21-681, author = {Xu , Guo-Liang and Bajaj , Chandrajit L.}, title = {Curvature Computations of 2-Manifolds in $\mathbb{R}^k$}, journal = {Journal of Computational Mathematics}, year = {2003}, volume = {21}, number = {5}, pages = {681--688}, abstract = {

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 $k\geq3$.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/10246.html} }