Spaces with distinguished geodesics:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York ; Basel
Marcel Dekker
[1987]
|
| Series: | Pure and applied mathematics
108 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | viii, 159 Seiten |
| ISBN: | 0824775457 |
Staff View
MARC
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| 100 | 1 | |a Busemann, Herbert |d 1905-1994 |0 (DE-588)13297603X |4 aut | |
| 245 | 1 | 0 | |a Spaces with distinguished geodesics |c Herbert Busemann ; B. B. Phadke |
| 264 | 1 | |a New York ; Basel |b Marcel Dekker |c [1987] | |
| 264 | 4 | |c © 1987 | |
| 300 | |a viii, 159 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pure and applied mathematics |v 108 | |
| 650 | 4 | |a Convexité | |
| 650 | 4 | |a Espace Minkovski | |
| 650 | 4 | |a Espace arguésien | |
| 650 | 7 | |a Géodésie |2 ram | |
| 650 | 4 | |a Géodésique | |
| 650 | 4 | |a Point fixe | |
| 650 | 4 | |a Théorème Beltrami | |
| 650 | 4 | |a G-spaces | |
| 650 | 4 | |a Geodesics (Mathematics) | |
| 650 | 0 | 7 | |a G-Raum |0 (DE-588)4158100-3 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a G-Raum |0 (DE-588)4158100-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Phadke, Bhalchandra B. |4 aut | |
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Record in the Search Index
| _version_ | 1816797696702283776 |
|---|---|
| adam_text |
CONTENTS
PREFACE iii
I. FOUNDATIONS 1
1. Introduction 1
2. Basic Concepts 3
3. The Topology of Closed Sets 6
4. Co rays and Limit Spheres 11
5. Locally Isometric Maps 20
6. Chord Spaces 22
7. Co rays and Parallels 37
8. Covering Spaces 40
n. TOPICS IN CHORD SPACE THEORY 47
1. Introduction 47
2. Desarguesian Spaces. Beltrami's Theorem 48
3. Minkowskian Geometry 52
4. Spaces Where the Geodesic Through Two Points
Is Unique 57
5. Nonpositive Curvature 63
6. Closed Hyperbolic Space Forms 66
HI. CONVEXITY 71
1. Introduction 71
2. Convex Spheres 72
vii
vjii Contents
3. Perpendiculars and Transversals 79
4. Spaces with Flat Limit Spheres 84
5. Other Convexity Conditions 97
6. Conditions in Terms of Busemann Functions 105
7. Fixed Points of Motions of Straight Chord Spaces 111
IV. WHERE CHORD AND G SPACES DIFFER 117
1. Introduction 117
2. Problems Leading to G Spaces 118
3. Differences Between G and Chord Spaces 133
4. Minkowskian Extremum Problems 140
NOTATION 147
REFERENCES 151
INDEX 157 |
| any_adam_object | 1 |
| author | Busemann, Herbert 1905-1994 Phadke, Bhalchandra B. |
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| classification_rvk | SK 370 SK 600 |
| classification_tum | MAT 537f |
| ctrlnum | (OCoLC)15221368 (DE-599)BVBBV000717828 |
| dewey-full | 516.3/62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/62 |
| dewey-search | 516.3/62 |
| dewey-sort | 3516.3 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000717828 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-26T15:01:40Z |
| institution | BVB |
| isbn | 0824775457 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000448692 |
| oclc_num | 15221368 |
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| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-355 DE-BY-UBR DE-20 DE-703 DE-83 DE-11 DE-188 DE-706 |
| physical | viii, 159 Seiten |
| psigel | TUB-nveb |
| publishDate | 1987 |
| publishDateSearch | 1987 |
| publishDateSort | 1987 |
| publisher | Marcel Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Busemann, Herbert 1905-1994 (DE-588)13297603X aut Spaces with distinguished geodesics Herbert Busemann ; B. B. Phadke New York ; Basel Marcel Dekker [1987] © 1987 viii, 159 Seiten txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 108 Convexité Espace Minkovski Espace arguésien Géodésie ram Géodésique Point fixe Théorème Beltrami G-spaces Geodesics (Mathematics) G-Raum (DE-588)4158100-3 gnd rswk-swf G-Raum (DE-588)4158100-3 s DE-604 Phadke, Bhalchandra B. aut Pure and applied mathematics 108 (DE-604)BV000001885 108 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000448692&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Busemann, Herbert 1905-1994 Phadke, Bhalchandra B. Spaces with distinguished geodesics Pure and applied mathematics Convexité Espace Minkovski Espace arguésien Géodésie ram Géodésique Point fixe Théorème Beltrami G-spaces Geodesics (Mathematics) G-Raum (DE-588)4158100-3 gnd |
| subject_GND | (DE-588)4158100-3 |
| title | Spaces with distinguished geodesics |
| title_auth | Spaces with distinguished geodesics |
| title_exact_search | Spaces with distinguished geodesics |
| title_full | Spaces with distinguished geodesics Herbert Busemann ; B. B. Phadke |
| title_fullStr | Spaces with distinguished geodesics Herbert Busemann ; B. B. Phadke |
| title_full_unstemmed | Spaces with distinguished geodesics Herbert Busemann ; B. B. Phadke |
| title_short | Spaces with distinguished geodesics |
| title_sort | spaces with distinguished geodesics |
| topic | Convexité Espace Minkovski Espace arguésien Géodésie ram Géodésique Point fixe Théorème Beltrami G-spaces Geodesics (Mathematics) G-Raum (DE-588)4158100-3 gnd |
| topic_facet | Convexité Espace Minkovski Espace arguésien Géodésie Géodésique Point fixe Théorème Beltrami G-spaces Geodesics (Mathematics) G-Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000448692&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000001885 |
| work_keys_str_mv | AT busemannherbert spaceswithdistinguishedgeodesics AT phadkebhalchandrab spaceswithdistinguishedgeodesics |