| Description |
1 online resource (xiii, 213 pages :) : illustrations. |
|
data file |
| Physical Medium |
polychrome |
| Series |
De Gruyter expositions in mathematics,
0938-6572 ;
22
|
|
De Gruyter expositions in mathematics ; 22.
0938-6572
|
| Bibliography |
Includes bibliographical references (pages 201-204) and index. |
| Contents |
""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"" |
|
"" 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"" |
|
"" 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"" |
|
"" 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"" |
|
""Chapter 8. Conformal realization of Lorentz surfaces in Minkowski 3-space""""Â 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"" |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Topology.
|
|
Topology. |
|
Lorentz groups.
|
|
Lorentz groups. |
|
Generalized spaces.
|
|
Generalized spaces. |
| Genre/Form |
Electronic books.
|
| Added Title |
Lorentz surfaces |
| Other Form: |
Print version: Weinstein, Tilla, 1934- Introduction to Lorentz surfaces. Berlin ; New York : Walter de Gruyter, 1996 (DLC) 95040470 |
| ISBN |
9783110821635 (electronic book) |
|
311082163X (electronic book) |
|
311014333X (acid-free paper) |
|
9783110143331 |
| Standard No. |
10.1515/9783110821635 |
|
