On bijections of Lorentz manifolds, which leave the class of spacelike paths invariant

DOI10.1016/0166-8641(85)90033-1zbMath0586.53025OpenAlexW2013527587MaRDI QIDQ1071328

Rudolf Z. Domiaty

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0166-8641(85)90033-1

zbMATH Keywords

conformal diffeomorphismhomeomorphismS-homeomorphismspace topologiesspace-like paths

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Gravitational energy and conservation laws; groups of motions (83C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (3)

Fine topology and locally Minkowskian manifolds ⋮ A new topology on space-time ⋮ Invariance of domain in Minkowski space with path topology

Cites Work

• Topologies for Lorentz manifolds: The space topology
• The topology of Minkowski space
• A new topology for curved space–time which incorporates the causal, differential, and conformal structures
• The smooth-path topology for curved space–time which incorporates the conformal structure and analytic Feynman tracks
• The class of continuous timelike curves determines the topology of spacetime
• Isometric embeddings of Riemannian and pseudo-Riemannian manifolds.
• Weaker Versions of Zeeman's Conjectures on Topologies for Minkowski Space
• The Large Scale Structure of Space-Time
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