Universal curvature identities

DOI10.1016/j.difgeo.2011.08.005zbMath1259.53013arXiv1104.1883OpenAlexW2066854779WikidataQ115356788 ScholiaQ115356788MaRDI QIDQ645477

Juan-Miguel Gracia

Publication date: 15 November 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.1883

zbMATH Keywords

Euler-Lagrange equationsPfaffiancurvature invariantsGauss-Bonnet

Mathematics Subject Classification ID

Local Riemannian geometry (53B20)

Related Items

Universal curvature identities and Euler-Lagrange formulas for Kähler manifolds ⋮ Transplanting geometrical structures ⋮ Universal curvature identities. II. ⋮ Dimensional curvature identities in Fedosov geometry ⋮ On second-order, divergence-free tensors ⋮ Analytic continuation, the Chern-Gauss-Bonnet theorem, and the Euler-Lagrange equations in Lovelock theory for indefinite signature metrics ⋮ The local index density of the perturbed de Rham complex ⋮ UNIVERSAL CURVATURE IDENTITIES III

Cites Work

• Estimates of small Dirac eigenvalues on 3-dimensional Sasakian manifolds
• Weyl homogeneous manifolds modelled on compact Lie groups
• Critical metrics for quadratic functionals in the curvature on 4-dimensional manifolds
• Variational properties of the Gauss-Bonnet curvatures
• Manifolds of low cohomogeneity and positive Ricci curvature
• On a Hopf hypersurface of a complex space form
• Torsion of \(SU(2)\)-structures and Ricci curvature in dimension 5
• Nearly Kähler manifolds with vanishing Tricerri-Vanhecke Bochner curvature tensor
• General natural Einstein Kähler structures on tangent bundles
• Geometric realizations of curvature models by manifolds with constant scalar curvature
• The Einstein field equation in a multidimensional universe
• Curvature and the heat equation for the de Rham complex
• Errata to the paper: On the heat equation and the index theorem
• Some generalizations of the Riemann spaces of Einstein
• Curvature and the eigenvalues of the Dolbeault complex for Kaehler manifolds
• A curvature identity on a 4-dimensional Riemannian manifold
• On Gauss-Bonnet curvatures
• A Lefschetz fixed point formula for elliptic complexes. II: Applications
• Curvature and the eigenvalues of the Laplacian for elliptic complexes
• A generalization of a 4-dimensional Einstein manifold
• Double forms, curvature structures and the $(p,q)$-curvatures
• Quelques formules de variation pour une structure riemannienne

This page was built for publication: Universal curvature identities