Year: 2003
Author: Guo-Liang Xu, Chandrajit L. Bajaj
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 5 : pp. 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 $k\geq3$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2003-JCM-10246
Journal of Computational Mathematics, Vol. 21 (2003), Iss. 5 : pp. 681–688
Published online: 2003-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Riemannian curvature Mean curvature vector Principal curvatures Principal directions.