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|a Weinstein, Tilla,
|d 1934-
|1 https://id.oclc.org/worldcat/entity/E39PBJcBRXJx9T9hKFbgtJDwmd
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245 |
1 |
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|a An introduction to Lorentz surfaces /
|c by Tilla Weinstein.
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|a Lorentz surfaces
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|a Berlin ;
|a New York :
|b Walter de Gruyter,
|c 1996.
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|a 1 online resource (xiii, 213 pages) :
|b illustrations
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336 |
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
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|a data file
|2 rda
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|a De Gruyter expositions in mathematics,
|x 0938-6572 ;
|v 22
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504 |
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|a Includes bibliographical references (pages 201-204) and index.
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|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
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|a  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 Kulkarni�s conformal boundary --  4.1. Ideal endpoints --  4.2. The points on the conformal boundary
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|a  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
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|a  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
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|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
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590 |
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|a eBooks on EBSCOhost
|b EBSCO eBook Subscription Academic Collection - Worldwide
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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650 |
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|a Topology.
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|a Lorentz groups.
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|a Generalized spaces.
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|a Topologie.
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|a Groupes de Lorentz.
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|a Espaces généralisés.
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|a SCIENCE
|x Physics
|x Mathematical & Computational.
|2 bisacsh
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|a Lorentz groups
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|i has work:
|a An introduction to Lorentz surfaces (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGTtWPFjPmCyPCRWX6bTVy
|4 https://id.oclc.org/worldcat/ontology/hasWork
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776 |
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|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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