Euclidean Submanifolds with Nonparallel Normal Space.
Euler-Savary's formula on Minkowski geometry.
Eulersche Charakteristik, Projektionen und Quermaßintegrale.
Evolutes and isoperimetric deficit in two-dimensional spaces of constant curvature
We relate the total curvature and the isoperimetric deficit of a curve in a two-dimensional space of constant curvature with the area enclosed by the evolute of . We provide also a Gauss-Bonnet theorem for a special class of evolutes.
Evolution of convex entire graphs by curvature flows
We consider the evolution of an entire convex graph in euclidean space with speed given by a symmetric function of the principal curvatures. Under suitable assumptions on the speed and on the initial data, we prove that the solution exists for all times and it remains a graph. In addition, after appropriate rescaling, it converges to a homothetically expanding solution of the flow. In this way, we extend to a class of nonlinear speeds the well known results of Ecker and Huisken for the mean curvature...
Evolution of curvature tensors under mean curvature flow.
Evolution of hypersurfaces by their curvature in Riemannian manifolds.
Exact relativistic theory of wave propagation in prestressed nonlinear elastic solids
Example of a six-dimensional LCK solvmanifold
The purpose of this paper is to prove that there exists a lattice on a certain solvable Lie group and construct a six-dimensional locally conformal Kähler solvmanifold with non-parallel Lee form.
Example of extrinsically homogeneous real hypersurface in .
Examples of circle actions on symplectic spaces
Examples of compact complex manifolds with no Kahler structure
Examples of compact holomorphic symplectic mainfolds which are not Kählerian II.
Examples of Manifolds which are Homogeneous Spaces de Lie Groups of Arbitrarily Large Dimension.
Examples of nonsemisymmetric Ricci-semisymmetric hypersurfaces
We construct a class of nonsemisymmetric Ricci-semisymmetric warped products. Some manifolds of this class can be locally realized as hypersurfaces of a semi-Euclidean space , n ≥ 5.
Examples of parallel spin-tensors.
Examples of quantum braided groups
Summary: The author gives the defining relations of a new type of bialgebras that generalize both the quantum groups and braided groups as well as the quantum supergroups. The relations of the algebras are determined by a pair of matrices that solve a system of Yang-Baxter-type equations. The matrix coproduct and counit are of standard matrix form, however, the multiplication in the tensor product of the algebra is defined by virtue of the braiding map given by the matrix . Besides simple solutions...
Examples of Riemannian manifolds with positive curvature almost everywhere.
Examples of sectional curvature with prescribed symmetry on -manifolds
Examples of stable compact symplectic foliations on compact symplectic manifolds