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An introduction to Lorentz surfaces /

Detalles Bibliográficos
Clasificación:	Libro Electrónico
Autor principal:	Weinstein, Tilla, 1934-
Formato:	Electrónico eBook
Idioma:	Inglés
Publicado:	Berlin ; New York : Walter de Gruyter, 1996.
Colección:	De Gruyter expositions in mathematics ; 22.
Temas:	Topology. Lorentz groups. Generalized spaces. Topologie. Groupes de Lorentz. Espaces généralisés. SCIENCE > Physics > Mathematical & Computational. Generalized spaces Lorentz groups Topology
Acceso en línea:	Texto completo

Tabla de Contenidos:

Introduction
Chapter 1. Null lines on Lorentz surfaces
Â 1.1. Scalar products and causal character
Â 1.2. Metrics and null direction fields
Â 1.3. Lorentz surfaces and proper null coordinates
Â 1.4. A first look at null lines
Â 1.5. The Euclidean plane E2 and the Minkowski plane E21
Chapter 2. Box surfaces, yardsticks and global properties of Lorentzian metrics
Â 2.1. The one-one correspondence between box surfaces and Lorentz surfaces
Â 2.2. Yardsticks and time-orientability
Â 2.3. Intrinsic curvature and a first look at the example in our logoÂ 2.4. Geodesics and pregeodesics
Â 2.5. Completeness, inextendibility, and causality conditions
Â 3.1. Definitions of conformal equivalence
Â 3.2. Cj conformally equivalent Lorentz surfaces need not be Cj+1 conformally equivalent
Chapter 4 Kulkarniâ€?s conformal boundary
Â 4.1. Ideal endpoints
Â 4.2. The points on the conformal boundary
Â 4.3. The topology on the conformal boundaryÂ 4.4. Some properties of the conformal boundary
Chapter 5 Using the conformal boundary
Â 5.1. The foliations X and Y
Â 5.2. Spans on â??
Â 5.3. A special â??+ chart on the span of a null curve
Â 5.4. Characterization of C0 smoothability of the conformal boundary
Â 5.5. Kulkarniâ€?s use of the conformal boundary
Chapter 6. Conformal invariants on Lorentz surfaces
Â 6.1. Conformal indices on an arbitrary Lorentz surface
Â 6.2. Conformal indices associated with â??â?? and more properties of â??â??Â 6.3. Some notions of symmetry
Â 6.4. Smythâ€?s digraph, determining sets and some other conformal invariants
Chapter 7. Classical surface theory and harmonically immersed surfaces
Â 7.1. A quick review of local surface theory in Euclidean 3-space
Â 7.2. A quick review of local surface theory in Minkowski 3-space
Â 7.3. Contrasting the behavior of surfaces in E3 and E3,1
Â 7.4. The Hilbert-Holmgren theorem for harmonically immersed surfaces
Chapter 8. Conformal realization of Lorentz surfaces in Minkowski 3-spaceÂ 8.1. Entire timelike minimal surfaces in E3,1
Â 8.2. Associate families of minimal surfaces
Â 8.3. Some conformal realizations of Lorentz surfaces in E3,1
Â 8.4. Some last remarks on conformal imbeddings and immersions
Bibliography
Index

An introduction to Lorentz surfaces /

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