Pseudo-Killing and pseudoharmonic vector fields on a Riemann-Cartan manifold

DOI10.1134/S0001434610010311zbMath1197.53049MaRDI QIDQ1957040

I. A. Gordeeva, Sergey E. Stepanov

Publication date: 24 September 2010

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

Ricci tensorRiemann-Cartan manifoldumbilical manifoldadjoint connectionpseudo-Killing vector fieldpseudoharmonic vector field

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (7)

Automorphisms of Riemann-Cartan manifolds ⋮ Isometries of spaces with torsion ⋮ New projective tensors for equitorsion geodesic mappings ⋮ Metric affine spaces ⋮ Three classes of Weitzenböck manifolds ⋮ Groups of automorphisms of Riemann-Cartan structures ⋮ Unnamed Item

Cites Work

• On pseudo-harmonic and pseudo-Killing vectors in metric manifolds with torsion
• Some properties of a semi-symmetric metric connection in a Riemannian manifold
• The sixteen classes of almost Hermitian manifolds and their linear invariants
• An analytic method in general relativity
• On conformal Killing 2-form of the electromagnetic field
• Partially conformal transformations with respect to \((m-1)\)-dimensional distributions of \(m\)-dimensional Riemannian manifolds
• Tensor-fields in non-symmetric connections
• Submanifolds of a Riemannian Manifold with Semisymmetric Metric Connections
• Vector fields in a metric manifold with torsion and boundary
• On a type of semi-symmetric non-metric connection on a Riemannian manifold
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