An introduction to Lorentz surfaces /
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| Author / Creator: | Weinstein, Tilla, 1934- |
|---|---|
| Imprint: | Berlin ; New York : Walter de Gruyter, 1996. |
| Description: | 1 online resource (xiii, 213 pages) : illustrations |
| Language: | English |
| Series: | De Gruyter expositions in mathematics, 0938-6572 ; 22 De Gruyter expositions in mathematics ; 22. |
| Subject: | |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11382491 |
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| 100 | 1 | |a Weinstein, Tilla, |d 1934- |0 http://id.loc.gov/authorities/names/n95083985 | |
| 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  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 | |
| 505 | 8 | |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 | |
| 505 | 8 | |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 | |
| 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 | |
| 650 | 0 | |a Topology. |0 http://id.loc.gov/authorities/subjects/sh85136089 | |
| 650 | 0 | |a Lorentz groups. |0 http://id.loc.gov/authorities/subjects/sh85078396 | |
| 650 | 0 | |a Generalized spaces. |0 http://id.loc.gov/authorities/subjects/sh85126020 | |
| 650 | 7 | |a SCIENCE |x Physics |x Mathematical & Computational. |2 bisacsh | |
| 650 | 7 | |a Generalized spaces. |2 fast |0 (OCoLC)fst00939840 | |
| 650 | 7 | |a Lorentz groups. |2 fast |0 (OCoLC)fst01002591 | |
| 650 | 7 | |a Topology. |2 fast |0 (OCoLC)fst01152692 | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 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 |0 http://id.loc.gov/authorities/names/n90653843 | |
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| 928 | |t Library of Congress classification |a QC20.7.T65 W45 1996eb |l Online |c UC-FullText |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=e000xna&AN=560509 |z eBooks on EBSCOhost |g ebooks |i 12375196 | ||