Uniformly quasiregular mappings on elliptic Riemannian manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Thesis Book |
| Language: | English |
| Published: |
Helsinki
Suomalainen Tiedeakatemia
2008
|
| Series: | Annales Academiae Scientiarum Fennicae
Mathematica : Dissertationes ; 151 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 69 Seiten Diagramme |
| ISBN: | 9514109899 |
Staff View
MARC
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Record in the Search Index
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| adam_text | Contents
1
Introduction
................................................................. 7
1.1
History of the research on quasiregular mappings
........................ 7
1.2
Overview of this thesis
................................................... 8
2
Preliminary results
.......................................................... 9
2.1
Normal coordinates
...................................................... 9
2.2
Geodetically convex neighbourhood
..................................... 10
2.3
Locally bilipschitz-continuous coordinate charts
......................... 14
3
Definitions and properties of quasiregular mappings
......................... 17
3.1
Quasiregular mappings
.................................................. 17
3.2
Branch set
............................................................. 18
3.3
Uniformly quasiregular mappings
....................................... 19
3.4
Lattès-type
mappings
.................................................. 21
3.5
Normal family
.......................................................... 21
4
Dynamics of uniformly quasiregular mappings
.............................. 23
4.1
Local representations
................................................... 23
4.2
Julia sets
............................................................... 26
5
Rescaling principle
.......................................................... 32
5.1
Criteria for normality
.................................................. 32
5.2
Rescaling principle on manifolds
........................................ 36
5.3
Manifolds supporting uqr-mappings are elliptic
......................... 45
6
Elliptic 3-manifolds
.........................................................47
6.1
Representation by a polyhedron
........................................ 47
6.2
3-dimensional model geometries
........................................ 47
7
Uniformly quasiregular mappings on elliptic 3-manifolds
.................... 51
7.1
Spherical space forms
...................................................51
7.2
Euclidean space forms
.................................................. 51
7.2.1
Manifolds with tetragonal basis
.................................. 52
7.2.2
Manifolds with hexagonal basis
.................................. 56
7.3
Manifolds covered by
S2 x R............................................
61
7.3.1
Sphere bundle
S2 x S ............................................
61
7.3.2
Connected sum P3#P3
........................................... 64
References
................................................................... 68
|
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| discipline | Mathematik |
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| genre_facet | Hochschulschrift |
| id | DE-604.BV035742922 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:03:26Z |
| institution | BVB |
| isbn | 9514109899 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018603114 |
| oclc_num | 254320998 |
| open_access_boolean | |
| owner | DE-703 DE-83 |
| owner_facet | DE-703 DE-83 |
| physical | 69 Seiten Diagramme |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | Suomalainen Tiedeakatemia |
| record_format | marc |
| series | Annales Academiae Scientiarum Fennicae |
| series2 | Annales Academiae Scientiarum Fennicae : Mathematica : Dissertationes |
| spelling | Kangaslampi, Riikka (DE-588)135839572 aut Uniformly quasiregular mappings on elliptic Riemannian manifolds Riikka Kangaslampi Helsinki Suomalainen Tiedeakatemia 2008 69 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Annales Academiae Scientiarum Fennicae : Mathematica : Dissertationes 151 Zugl.: Helsinki, Univ. of Technology, Diss., 2008 Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Quasireguläre Abbildung (DE-588)4199290-8 gnd rswk-swf Elliptischer Raum (DE-588)4456592-6 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Riemannscher Raum (DE-588)4128295-4 s Elliptischer Raum (DE-588)4456592-6 s Quasireguläre Abbildung (DE-588)4199290-8 s DE-604 Annales Academiae Scientiarum Fennicae Mathematica : Dissertationes ; 151 (DE-604)BV021750467 151 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018603114&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kangaslampi, Riikka Uniformly quasiregular mappings on elliptic Riemannian manifolds Annales Academiae Scientiarum Fennicae Riemannscher Raum (DE-588)4128295-4 gnd Quasireguläre Abbildung (DE-588)4199290-8 gnd Elliptischer Raum (DE-588)4456592-6 gnd |
| subject_GND | (DE-588)4128295-4 (DE-588)4199290-8 (DE-588)4456592-6 (DE-588)4113937-9 |
| title | Uniformly quasiregular mappings on elliptic Riemannian manifolds |
| title_auth | Uniformly quasiregular mappings on elliptic Riemannian manifolds |
| title_exact_search | Uniformly quasiregular mappings on elliptic Riemannian manifolds |
| title_full | Uniformly quasiregular mappings on elliptic Riemannian manifolds Riikka Kangaslampi |
| title_fullStr | Uniformly quasiregular mappings on elliptic Riemannian manifolds Riikka Kangaslampi |
| title_full_unstemmed | Uniformly quasiregular mappings on elliptic Riemannian manifolds Riikka Kangaslampi |
| title_short | Uniformly quasiregular mappings on elliptic Riemannian manifolds |
| title_sort | uniformly quasiregular mappings on elliptic riemannian manifolds |
| topic | Riemannscher Raum (DE-588)4128295-4 gnd Quasireguläre Abbildung (DE-588)4199290-8 gnd Elliptischer Raum (DE-588)4456592-6 gnd |
| topic_facet | Riemannscher Raum Quasireguläre Abbildung Elliptischer Raum Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018603114&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV021750467 |
| work_keys_str_mv | AT kangaslampiriikka uniformlyquasiregularmappingsonellipticriemannianmanifolds |