On sectional curvature of indefinite metrics

DOI10.1007/BF01351431zbMath0366.53007OpenAlexW4235049434MaRDI QIDQ1241894

Katsumi Nomizu, Larry K. Graves

Publication date: 1978

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/163087

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Local Riemannian geometry (53B20)

Related Items (20)

Sectional curvature in 4-dimensional manifolds of neutral signature ⋮ The axioms of indefinite hemi-slant planes and spheres ⋮ On the curvatures of Einstein spaces ⋮ Generalization of Cartan's Lemma for indefinite \(k\)-spaces ⋮ Remarks on Sectional Curvature of an Indefinite Metric ⋮ Properties of a scalar curvature invariant depending on two planes ⋮ Natural curvature operators of bounded spectrum ⋮ Sectional curvature bounds in gravity: regularisation of the Schwarzschild singularity ⋮ Geometric obstruction of Black holes ⋮ On pseudo-Finsler manifolds of scalar flag curvature ⋮ Curvature-adapted submanifolds of semi-Riemannian groups ⋮ Indefinite Kähler manifolds ⋮ Curvature of indefinite almost contact manifolds ⋮ Paraquaternionic Kähler manifolds ⋮ On sectional curvature of indefinite metrics. II ⋮ Constancy of \(\varphi\) -holomorphic sectional curvature of \((\epsilon)\)-Sasakian manifolds ⋮ Sectional curvature in general relativity ⋮ Indefinite quaternion space forms ⋮ Constancy of holomorphic sectional curvature in indefinite almost Hermitian manifolds ⋮ Propriétés de rigidité concernant la courbure des métriques indéfinies. (Rigidity properties for the curvature of indefinite metrics)

Cites Work

• Unnamed Item
• The axiom of spheres in Riemannian geometry
• Pseudo-Riemannian Manifolds with Totally Geodesic Bisectors

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