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.

In this paper we obtain a classification of compact n-submanifolds of the Euclidean space Rn+2 with 2-nonnegative curvature operator.

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 ...

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 ...

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, ...

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 ...

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 ...