On conformal Killing 2-form of the electromagnetic field

DOI10.1016/S0393-0440(99)00046-7zbMath0977.53013WikidataQ126844180 ScholiaQ126844180MaRDI QIDQ1973418

Sergey E. Stepanov

Publication date: 28 January 2002

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

zbMATH Keywords

electromagnetic fieldenergy-momentum tensorpseudo-Riemannian manifoldconformal Killing vector fieldsconformal Killing formconformal Killing \(p\)-forms

Mathematics Subject Classification ID

Electromagnetic fields in general relativity and gravitational theory (83C50) Differential forms in global analysis (58A10) Einstein-Maxwell equations (83C22) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (20)

Conformal Killing forms on totally umbilical submanifolds ⋮ Harmonic and conformally Killing forms on complete Riemannian manifold ⋮ Vanishing theorems of conformal Killing forms and their applications to electrodynamics in the general relativity theory ⋮ Conformal Killing \(L^2\)-forms on complete Riemannian manifolds with nonpositive curvature operator ⋮ Betti and Tachibana numbers of compact Riemannian manifolds ⋮ On symmetric Killing tensors and Codazzi tensors of ranks \(p \geq 2\) ⋮ Pseudo-Killing and pseudoharmonic vector fields on a Riemann-Cartan manifold ⋮ Curvature and Tachibana numbers ⋮ The conformal Killing equation on forms-prolongations and applications ⋮ Some conformal and projective scalar invariants of Riemannian manifolds ⋮ Vanishing theorems for some classes of Riemann-Cartan manifolds ⋮ The pre-Maxwell Equations ⋮ Riemann-Cartan manifolds ⋮ Theorems of existence and of vanishing of conformally Killing forms ⋮ Comparative analysis of spectral properties of the Hodge-de Rham and Tachibana operators ⋮ The Killing tensors on an $n$ -dimensional manifold with $SL(n, R)$-structure ⋮ The Sampson Laplacian on Negatively Pinched Riemannian Manifolds ⋮ Betti and Tachibana numbers ⋮ On Dimensions of Vector Spaces of Conformal Killing Forms ⋮ Eigenvalues of the Tachibana operator which acts on differential forms

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