Theorems of existence and of vanishing of conformally Killing forms

DOI10.3103/S1066369X14100077zbMath1311.53038OpenAlexW1992423958MaRDI QIDQ2262931

I. I. Tsyganok, Sergey E. Stepanov

Publication date: 17 March 2015

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x14100077

zbMATH Keywords

Riemannian manifoldcurvature operatorexistence theoremvanishing theoremconformally Killing forms

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (5)

Conformal Killing \(L^2\)-forms on complete Riemannian manifolds with nonpositive curvature operator ⋮ On higher-order Codazzi tensors on complete Riemannian manifolds ⋮ Geometry in the large of the kernel of Lichnerowicz Laplacians and its applications ⋮ An example of Lichnerowicz-type Laplacian ⋮ The Sampson Laplacian on Negatively Pinched Riemannian Manifolds

Cites Work

• Conformal Killing forms on Riemannian manifolds
• On conformal Killing 2-form of the electromagnetic field
• Some conformal and projective scalar invariants of Riemannian manifolds
• On the integrability of Killing-Yano's equation
• On conformal Killing tensor in a Riemannian space
• Riemannian Geometry
• Curvature and Tachibana numbers
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