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Left-invariant metrics on a tensor bundle of type (2,0) over a Lie groupIn this paper, vertical and horizontal lifts of left-invariant vector fields are constructed

Isotropic covariant tensors in RnStatements about the dimension d(r,n) of L(n)r and basis tensors in them are proved. It is shown

Left-invariant metrics on a tensor bundle of type (2,0) over a Lie groupIn this paper, vertical and horizontal lifts of left-invariant vector fields are constructed

Low-symmetry spin Hamiltonian and crystal field tensors analysis: Fe3+ in natrolite and synthetic crystals reveals that the 4-rank zero-field splitting tensor invariants for Fe3

Non-reductive homogeneous spaces, admitting affine connections invariant affine connections, description of the affine connections together with their curvature

Low-symmetry spin Hamiltonian and crystal field tensors analysis: Fe3+ in natrolite and synthetic crystals reveals that the 4-rank zero-field splitting tensor invariants for Fe3

Связности в геометрии дифференциальных уравнений уравнений. We present a local classification of three-dimensional homogeneous spaces allowing invariant

Affine connections on three-dimensional pseudo-Riemannian homogeneous spaces. IIWe describe all invariant affine connections on three-dimensional pseudo-Riemannian homogeneous

Three-dimensional homogeneous spaces of nonsolvable lie groups with equiaffine connections of nonzero curvature equiaffine) connections on three-dimensional homogeneous spaces that only admit invariant connections

Reductive homogeneous spaces and connections on themWhen a homogeneous space admits an invariant affine connection? If there exists at least one

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