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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:
Acceso en línea:Texto completo

MARC

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100 1 |a Weinstein, Tilla,  |d 1934- 
245 1 3 |a An introduction to Lorentz surfaces /  |c by Tilla Weinstein. 
246 3 0 |a Lorentz surfaces 
260 |a Berlin ;  |a New York :  |b Walter de Gruyter,  |c 1996. 
300 |a 1 online resource (xiii, 213 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a data file  |2 rda 
490 1 |a De Gruyter expositions in mathematics,  |x 0938-6572 ;  |v 22 
504 |a Includes bibliographical references (pages 201-204) and index. 
505 0 |a 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 
505 8 |a Â 2.3. Intrinsic curvature and a first look at the example in our logo 2.4. Geodesics and pregeodesics --  2.5. Completeness, inextendibility, and causality conditions -- Chapter 3. Conformal equivalence and the Poincaré index --  3.1. Definitions of conformal equivalence --  3.2. Cj conformally equivalent Lorentz surfaces need not be Cj+1 conformally equivalent --  3.3. The Poincaré index --  3.4. The Poincaré Index Theorem -- Chapter 4 Kulkarniâ€?s conformal boundary --  4.1. Ideal endpoints --  4.2. The points on the conformal boundary 
505 8 |a Â 4.3. The topology on the conformal boundary 4.4. Some properties of the conformal boundary -- Chapter 5 Using the conformal boundary --  5.1. The foliations X and Y --  5.2. Spans on â?? --  5.3. A special â??+ chart on the span of a null curve --  5.4. Characterization of C0 smoothability of the conformal boundary --  5.5. Kulkarniâ€?s use of the conformal boundary -- Chapter 6. Conformal invariants on Lorentz surfaces --  6.1. Conformal indices on an arbitrary Lorentz surface 
505 8 |a Â 6.2. Conformal indices associated with â??â?? and more properties of â??â?? 6.3. Some notions of symmetry --  6.4. Smythâ€?s digraph, determining sets and some other conformal invariants -- Chapter 7. Classical surface theory and harmonically immersed surfaces --  7.1. A quick review of local surface theory in Euclidean 3-space --  7.2. A quick review of local surface theory in Minkowski 3-space --  7.3. Contrasting the behavior of surfaces in E3 and E3,1 --  7.4. The Hilbert-Holmgren theorem for harmonically immersed surfaces 
505 8 |a Chapter 8. Conformal realization of Lorentz surfaces in Minkowski 3-space 8.1. Entire timelike minimal surfaces in E3,1 --  8.2. Associate families of minimal surfaces --  8.3. Some conformal realizations of Lorentz surfaces in E3,1 --  8.4. Some last remarks on conformal imbeddings and immersions -- Bibliography -- Index 
590 |a eBooks on EBSCOhost  |b EBSCO eBook Subscription Academic Collection - Worldwide 
650 0 |a Topology. 
650 0 |a Lorentz groups. 
650 0 |a Generalized spaces. 
650 6 |a Topologie. 
650 6 |a Groupes de Lorentz. 
650 6 |a Espaces généralisés. 
650 7 |a SCIENCE  |x Physics  |x Mathematical & Computational.  |2 bisacsh 
650 7 |a Generalized spaces  |2 fast 
650 7 |a Lorentz groups  |2 fast 
650 7 |a Topology  |2 fast 
776 0 8 |i Print version:  |a Weinstein, Tilla, 1934-  |t Introduction to Lorentz surfaces.  |d Berlin ; New York : Walter de Gruyter, 1996  |w (DLC) 95040470 
830 0 |a De Gruyter expositions in mathematics ;  |v 22.  |x 0938-6572 
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