Ricci Type Identities In A Subspace Of Space Of Non-Symmetric Affine Connexion
Ricci-semisymmetric hypersurfaces.
Riemann compatible tensors
Derdziński and Shen's theorem on the restrictions on the Riemann tensor imposed by existence of a Codazzi tensor holds more generally when a Riemann compatible tensor exists. Several properties are shown to remain valid in this broader setting. Riemann compatibility is equivalent to the Bianchi identity for a new "Codazzi deviation tensor", with a geometric significance. The above general properties are studied, with their implications on Pontryagin forms. Examples are given of manifolds with Riemann...
Riemannian manifolds admitting certain conformal changes of metric
Riemannian manifolds not quasi-isometric to leaves in codimension one foliations
Every open manifold of dimension greater than one has complete Riemannian metrics with bounded geometry such that is not quasi-isometric to a leaf of a codimension one foliation of a closed manifold. Hence no conditions on the local geometry of suffice to make it quasi-isometric to a leaf of such a foliation. We introduce the ‘bounded homology property’, a semi-local property of that is necessary for it to be a leaf in a compact manifold in codimension one, up to quasi-isometry. An essential...
Riemannian manifolds with almost constant scalar curvature.
Riemann-Lagrange geometrical background for multi-time physical fields.
Riemannsche Arealstrukturen und muliquadratische Formen.
Rotation surfaces with L₁-pointwise 1-type Gauss map in pseudo-Galilean space
We study rotation surfaces in the three-dimensional pseudo-Galilean space G₃¹ such that the Gauss map G satisfies the condition L₁G = f(G + C) for a smooth function f and a constant vector C, where L₁ is the Cheng-Yau operator.
Ruled surfaces in Lorentz-Minkowski 3-spaces with non-degenerate second fundamental form.
Ruled W-surfaces in Minkowski 3-space
In this paper, we study a spacelike (timelike) ruled W-surface in Minkowski 3-space which satisfies nontrivial relation between elements of the set , where and are the Gaussian and mean curvatures of the first and second fundamental forms, respectively. Finally, some examples are constructed and plotted.
r-y r2 variedades diferenciables.