Proper homothetic maps and fixed points

DOI10.1007/BF00419621zbMath0394.53035OpenAlexW2087596039MaRDI QIDQ1252643

John K. Beem

Publication date: 1978

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00419621

zbMATH Keywords

Characterizations of Minkowski SpacetimeFixedn PointFlat MetricProper Homothetic MapPseudoriemannian Manifold

Mathematics Subject Classification ID

Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (15)

Homothetic transformations with fixed points in spacetime ⋮ Conformal symmetries and fixed points in space-time ⋮ Space–times admitting a three-parameter similarity group ⋮ Affine collineations in general relativity and their fixed point structure ⋮ Homothety groups in space-time ⋮ Affine collineations in space-time ⋮ Vacuum type N space-times admitting homothetic vector fields with isolated fixed points ⋮ Conformal vector fields on spacetimes ⋮ Symmetries and geometry in general relativity ⋮ Special conformal symmetries in general relativity ⋮ Symmetries of Lorentzian three-manifolds with recurrent curvature ⋮ Classification and conformal symmetry in three-dimensional space–times ⋮ Classification of proper teleparallel conformal symmetry of spherically symmetric static spacetimes using diagonal tetrads ⋮ Some remarks on wave solutions in general relativity theory ⋮ Conformal vector fields and conformal-type collineations in space-times

Cites Work

• Similarities and differentiability
• Zeeman topologies on space-times of general relativity theory
• A note on proper homothetic motions
• The topology of Minkowski space

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