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Gromov, Cauchy and causal boundaries for Riemannian, Finslerian and Lorentzian manifolds /

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Flores, J. L.
Otros Autores: Herrera, J., Sánchez, M.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: [Place of publication not identified] : [publisher not identified]
Colección:Memoirs of the American Mathematical Society.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • ""Contents""; ""Abstract""; ""Chapter 1. Introduction""; ""Chapter 2. Preliminaries""; ""2.1. Spacetimes and c-boundaries""; ""2.2. Finsler manifolds""; ""2.3. Conformally stationary spacetimes""; ""Chapter 3. Cauchy completion of a generalized metric space""; ""3.1. Basic definitions""; ""3.2. Forward and backward Cauchy boundaries as point sets""; ""3.3. Quasi-distance and topology on the Cauchy completions""; ""3.4. Relating _{ }â?º and _{ }â?» through the extended quasi-distance""; ""Chapter 4. Riemannian Gromov and Busemann completions""; ""4.1. Gromov completion""
  • 4.2. Busemann completion as a point setChapter 5. Finslerian completions
  • 5.1. Gromov completions for the non-symmetric case
  • 5.2. Busemann completions
  • 5.3. Chronological topology vs Gromov topology
  • 5.4. Proof of Theorem 1.1
  • Chapter 6. C-boundary of standard stationary spacetimes
  • 6.1. Chronological relations and Lipschitzian functions
  • 6.2. Future and past c-boundaries as point sets
  • 6.3. The (total) c-boundary as a point set
  • 6.4. Causality of the c-boundary
  • 6.5. Topology of the partial boundaries and the c-boundary
  • 6.6. Proof of Theorem 1.2Acknowledgments
  • Bibliography