-symmetric submanifolds
-quasi Einstein manifolds satisfying certain curvature conditions
Nächste Punkte in der Riemannschen Geometrie.
Nambu-Poisson Tensors on Lie Groups
First as an application of the local structure theorem for Nambu-Poisson tensors, we characterize them in terms of differential forms. Secondly left invariant Nambu-Poisson tensors on Lie groups are considered.
Natural 2-forms on the tangent bundle of a Riemannian manifold
Natural diagonal Riemannian almost product and para-Hermitian cotangent bundles
We obtain the natural diagonal almost product and locally product structures on the total space of the cotangent bundle of a Riemannian manifold. Studying the compatibility and the anti-compatibility relations between the determined structures and a natural diagonal metric, we find the Riemannian almost product (locally product) and the (almost) para-Hermitian cotangent bundles of natural diagonal lift type. Finally, we prove the characterization theorem for the natural diagonal (almost) para-Kählerian...
Natural dynamical connections
Natural intrinsic geometrical symmetries.
Natural liftings of foliations to the tangent bundle
A classification of natural liftings of foliations to the tangent bundle is given.
Natural tensor fields of type on the tangent and cotangent bundles of a Fedosov manifold.
Natural tensor fields of type on the tangent and cotangent bundles of a semi-Riemannian manifold
Natural transformations between and
Natural transformations between T²₁T*M and T*T²₁M
We determine all natural transformations T²₁T*→ T*T²₁ where . We also give a geometric characterization of the canonical isomorphism ψ₂ defined by Cantrijn et al.
Natural transformations in differential geometry
Natural transformations of connections on the first principal prolongation
We consider a vector bundle and the principal bundle of frames of . We determine all natural transformations of the connection bundle of the first order principal prolongation of principal bundle into itself.
Natural transformations of foliations into foliations on the cotangent bundle
Natural transformations of second tangent and cotangent functors
Natural transformations of the second tangent functor and soldered morphisms
Natural vector fields and 2-vector fields on the tangent bundle of a pseudo-Riemannian manifold
Let be a differentiable manifold with a pseudo-Riemannian metric and a linear symmetric connection . We classify all natural (in the sense of [KMS]) 0-order vector fields and 2-vector fields on generated by and . We get that all natural vector fields are of the form where is the vertical lift of , is the horizontal lift of with respect to , and are smooth real functions defined on . All natural 2-vector fields are of the form where , are smooth real functions defined...
Naturally reductive homogeneous spaces and generalized Heisenberg groups