Some conformal and projective scalar invariants of Riemannian manifolds

DOI10.1007/s11006-006-0206-4zbMath1131.53014OpenAlexW1976321473WikidataQ115381840 ScholiaQ115381840MaRDI QIDQ2460494

Sergey E. Stepanov

Publication date: 12 November 2007

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

Full work available at URL: https://doi.org/10.1007/s11006-006-0206-4

zbMATH Keywords

Killing formconformal Killing formconformally flat Riemannian manifoldclosed oriented Riemannian manifoldconformal scalar invariantprojective scalar invariant

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Local Riemannian geometry (53B20) Differential invariants (local theory), geometric objects (53A55)

Related Items (9)

Conformal Killing forms on totally umbilical submanifolds ⋮ Betti and Tachibana numbers of compact Riemannian manifolds ⋮ Curvature and Tachibana numbers ⋮ Theorems of existence and of vanishing of conformally Killing forms ⋮ Projective curvature tensors of some special manifolds with non-symmetric linear connection ⋮ Comparative analysis of spectral properties of the Hodge-de Rham and Tachibana operators ⋮ Betti and Tachibana numbers ⋮ On Dimensions of Vector Spaces of Conformal Killing Forms ⋮ Eigenvalues of the Tachibana operator which acts on differential forms

Cites Work

• A new strong Laplacian on differential forms.
• Stein-Weiss operators and ellipticity
• On conformal Killing 2-form of the electromagnetic field
• The Killing-Yano tensor
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
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