An introduction to Lorentz surfaces:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin ; New York
de Gruyter
1996
|
| Series: | De Gruyter expositions in mathematics
22 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 201 - 204 |
| Physical Description: | XIII, 213 S. graph. Darst. |
| ISBN: | 311014333X |
Staff View
MARC
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| 245 | 1 | 0 | |a An introduction to Lorentz surfaces |c by Tilla Weinstein |
| 264 | 1 | |a Berlin ; New York |b de Gruyter |c 1996 | |
| 300 | |a XIII, 213 S. |b graph. Darst. | ||
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| 500 | |a Literaturverz. S. 201 - 204 | ||
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Record in the Search Index
| _version_ | 1804125236807860224 |
|---|---|
| adam_text | Table of Contents
Introduction 1
Chapter 1
Null lines on Lorentz surfaces
§1.1. Scalar products and causal character 4
§1.2. Metrics and null direction fields 8
§1.3. Lorentz surfaces and proper null coordinates 12
§1.4. A first look at null lines 15
§1.5. The Euclidean plane E2 and the Minkowski plane E2t 17
Chapter 2
Box surfaces, yardsticks and global properties of Lorentzian metrics
§2.1. The one one correspondence between box surfaces and
Lorentz surfaces 19
§2.2. Yardsticks and time orientability 22
§2.3. Intrinsic curvature and a first look at the example in our logo ... 25
§2.4. Geodesies and pregeodesics 27
§2.5. Completeness, inextendibility, and causality conditions 30
Chapter 3
Conformal equivalence and the Poincare index
§3.1. Definitions of conformal equivalence 36
§3.2. Cj conformally equivalent Lorentz surfaces need not be Cj+l
conformally equivalent 39
§3.3. The Poincare index 47
§3.4. The Poincare Index Theorem 50
xii Table of Contents
Chapter 4
Kulkarni s conformal boundary
§4.1. Ideal endpoints 54
§4.2. The points on the conformal boundary 61
§4.3. The topology on the conformal boundary 68
§4.4. Some properties of the conformal boundary 73
Chapter 5
Using the conformal boundary
§5.1. The foliations gf and ^ 84
§5.2. Spans on ££ 87
§5.3. A special Ht+ chart on the span of a null curve 95
§5.4. Characterization of C° smoothability of the conformal boundary . 103
§5.5. Kulkarni s use of the conformal boundary 110
Chapter 6
Conformal invariants on Lorentz surfaces
§6.1. Conformal indices on an arbitrary Lorentz surface 119
§6.2. Conformal indices associated with dit and more properties of 3i£ .124
§6.3. Some notions of symmetry 131
§6.4. Smyth s digraph, determining sets and some other
conformal invariants 134
Chapter 7
Classical surface theory and harmonically immersed surfaces
§7.1. A quick review of local surface theory in Euclidean 3 space .... 139
§7.2. A quick review of local surface theory in Minkowski 3 space . . . 149
§7.3. Contrasting the behavior of surfaces in £3 and £31 162
§7.4. The Hilbert Holmgren theorem for harmonically immersed surfaces 166
Table of Contents xiii
Chapter 8
Conformal realization of Lorentz surfaces in Minkowski 3 space
§8.1. Entire timelike minimal surfaces in £31 175
§8.2. Associate families of minimal surfaces 182
§8.3. Some conformal realizations of Lorentz surfaces in E3 188
§8.4. Some last remarks on conformal imbeddings and immersions . . . 196
Bibliography 201
Index 205
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:58:21Z |
| institution | BVB |
| isbn | 311014333X |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007183570 |
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| physical | XIII, 213 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | de Gruyter |
| record_format | marc |
| series | De Gruyter expositions in mathematics |
| series2 | De Gruyter expositions in mathematics |
| spelling | Weinstein, Tilla Verfasser aut An introduction to Lorentz surfaces by Tilla Weinstein Berlin ; New York de Gruyter 1996 XIII, 213 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier De Gruyter expositions in mathematics 22 Literaturverz. S. 201 - 204 Lorentz-Fläche Lorentz-Fläche (DE-588)4418367-7 gnd rswk-swf Lorentz-Fläche (DE-588)4418367-7 s DE-604 De Gruyter expositions in mathematics 22 (DE-604)BV004069300 22 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007183570&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weinstein, Tilla An introduction to Lorentz surfaces De Gruyter expositions in mathematics Lorentz-Fläche Lorentz-Fläche (DE-588)4418367-7 gnd |
| subject_GND | (DE-588)4418367-7 |
| title | An introduction to Lorentz surfaces |
| title_auth | An introduction to Lorentz surfaces |
| title_exact_search | An introduction to Lorentz surfaces |
| title_full | An introduction to Lorentz surfaces by Tilla Weinstein |
| title_fullStr | An introduction to Lorentz surfaces by Tilla Weinstein |
| title_full_unstemmed | An introduction to Lorentz surfaces by Tilla Weinstein |
| title_short | An introduction to Lorentz surfaces |
| title_sort | an introduction to lorentz surfaces |
| topic | Lorentz-Fläche Lorentz-Fläche (DE-588)4418367-7 gnd |
| topic_facet | Lorentz-Fläche |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007183570&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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