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 IRk...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 IRk with k > 3.展开更多
基金The first author was supported in part by NSF (10241004) of ChinaNational Innovation Fund 1770900+2 种基金 Chinese Academy of Sciencesthe second author was supported in part by NSF grants CCR 9732306KDI-DMS-9873326.
文摘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 IRk with k > 3.
