On volumes of some hyperbolic 3-manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Seoul
1996
|
| Series: | Lecture Notes Series / Global Analysis Research Center
30 |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 132 Seiten |
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Record in the Search Index
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| adam_text | IMAGE 1
A 21 M
M 30
ON VOLUMES OF SOME HYPERBOLIC 3 - MANIFOLDS
ANDREI VESNIN
AH S CH S UN
IMAGE 2
CONTENTS
P O L Y H E D RA IN THE LOBACHEVSKY SPACE 5
1.1 ACUTE-ANGLED POLYHEDRA 5
1.2 THE GRAM MATRIX 7
1.3 THE GAUSS MAP 8
VOLUMES OF POLYHEDRA 11
2.1 AN IDEAL TETRAHEDRON 11
2.2 AN IDEAL PYRAMID 19
2.3 AN IDEAL REGULAR PRISM 20
2.4 AN IDEAL REGULAR ANTIPRISM 23
2.5 A PYRAMID WITH THE APEX AT INFINITY 26
2.6 ORTHOSCHEMES 32
2.7 SOME COMPUTATIONS 34
VOLUMES OF HYPERBOLIC MANIFOLDS 39
LSBELL MANIFOLDS 43
4.1 CONSTRUCTION OF MANIFOLDS 43
4.2 NATURALLY MAXIMAL GROUPS 49
4.3 VOLUMES OF LOBELL MANIFOLDS 56
FIBONACCI MANIFOLDS 63
5.1 CONSTRUCTION OF MANIFOLDS 63
5.2 FIBONACCI MANIFOLDS AND THE FIGURE-EIGHT KNOT 66
5.3 VOLUMES OF FIBONACCI MANIFOLDS 69
5.4 VOLUMES OF TURK S HEAD LINKS 78
5.5 EQUALITY OF VOLUMES 85
5.6 FIBONACCI MANIFOLDS AS TWO-FOLD COVERINGS 86
5.7 HEEGAARD GENUS OF FIBONACCI MANIFOLDS 90
5.8 FIBONACCI MANIFOLDS OBTAINED BY DEHN SURGERY 99
IMAGE 3
4 CONTENTS
6 MANIFOLDS OF SMALL VOLUME 103
6.1 DEHN SURGERIES ON THE WHITEHEAD LINK 104
6.2 THE TEN SMALLEST MANIFOLDS M. ,..., M. IO 110
6.3 THE HEEGAARD GENUS OF W(M,N;P,Q) 113
6.4 M. IS A MAXIMALLY SYMMETRIC MANIFOLD 115
6.5 THE MEYERHOFF-NEUMANN MANIFOLD MZ 119
|
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| classification_rvk | SK 350 |
| ctrlnum | (OCoLC)245958452 (DE-599)BVBBV026171903 |
| discipline | Mathematik |
| format | Book |
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| physical | 132 Seiten |
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| series2 | Lecture Notes Series / Global Analysis Research Center |
| spelling | Vesnin, Andrej Verfasser aut On volumes of some hyperbolic 3-manifolds Andrej Vesnin Seoul 1996 132 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture Notes Series / Global Analysis Research Center 30 Global Analysis Research Center Lecture Notes Series 30 (DE-604)BV012438713 30 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021757302&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Vesnin, Andrej On volumes of some hyperbolic 3-manifolds |
| title | On volumes of some hyperbolic 3-manifolds |
| title_auth | On volumes of some hyperbolic 3-manifolds |
| title_exact_search | On volumes of some hyperbolic 3-manifolds |
| title_full | On volumes of some hyperbolic 3-manifolds Andrej Vesnin |
| title_fullStr | On volumes of some hyperbolic 3-manifolds Andrej Vesnin |
| title_full_unstemmed | On volumes of some hyperbolic 3-manifolds Andrej Vesnin |
| title_short | On volumes of some hyperbolic 3-manifolds |
| title_sort | on volumes of some hyperbolic 3 manifolds |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=021757302&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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