Now showing items 1-10 of 3749
On Hypersurfaces of Spheres with Two Principal Curvatures
In this paper we obtain a classification of hypersurfaces in the Euclidean sphere having two principal curvatures; for some of the results we impose that the sectional curvature (Ricci curvature, resp.) is non-negative Ricci.
Codimension two submanifolds with 2-nonnegative curvature operator
In this paper we obtain a classification of compact n-submanifolds of the Euclidean space Rn+2 with 2-nonnegative curvature operator.
Behavior of gaussian curvature and mean curvature near non-degenerate singular points on wave fronts
We define cuspidal curvature Kc (resp. normalized cuspidal curvature μc) along cuspidal edges (resp. at a swallowtail singularity) in Riemannian 3-manifolds, and show that it gives a coefficient of the divergent term of ...
Analysis of the Finite Element Method for the Laplace–Beltrami Equation on Surfaces with Regions of High Curvature Using Graded Meshes
(Springer New York LLC, 2017)
We derive error estimates for the piecewise linear finite element approximation of the Laplace–Beltrami operator on a bounded, orientable, (Formula presented.), surface without boundary on general shape regular meshes. As ...
About the uniqueness of conformal metrics with pre scribed scalar and mean curvatures on compact manifolds with boundary.
Let (Mⁿ, g) be an n – dimensional compact Riemannian manifold with boundary with n ≥ 2. In this paper we study the uniquensess of metrics in the conformal class of the metric g having the same scalar curvature in M, aM, ...
Curvature Estimates for Submanifolds in Warped Products
(BIRKHAUSER VERLAG AG, 2011)
We give estimates of the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case ...
Compact manifolds of nonnegative isotropic curvature and pure curvature tensor
(Balkan Soc GeometersBucharestRoménia, 2005)
Evolution of an extremum by curvature motion
(Academic Press Inc., 2004)
In this paper we consider the evolution of an isolated extremum of a function under the curvature motion in the plane. We define different notions of circular extrema and show that, immediately after the motion begins, the ...