Strong rigidity of locally symmetric spaces
Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Princeton, NJ
Princeton University Press
1973
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| Schriftenreihe: | Annals of Mathematics Studies
number 78 |
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| Online-Zugang: | URL des Erstveröffentlichers |
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| 245 | 1 | 0 | |a Strong rigidity of locally symmetric spaces |c G. D. Mostow |
| 264 | 1 | |a Princeton, NJ |b Princeton University Press |c 1973 | |
| 264 | 4 | |c © 1973 | |
| 300 | |a 1 online resource | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 490 | 1 | |a Annals of Mathematics Studies |v number 78 | |
| 500 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) | ||
| 520 | |a Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semi-simple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudo-isometries"; the other is a notion of a quasi-conformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof | ||
| 546 | |a In English | ||
| 650 | 4 | |a Lie groups | |
| 650 | 4 | |a Riemannian manifolds | |
| 650 | 4 | |a Rigidity (Geometry) | |
| 650 | 4 | |a Symmetric spaces | |
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| 650 | 0 | 7 | |a Rigidität |0 (DE-588)4178149-1 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Starrheit |g Mathematik |0 (DE-588)4326739-7 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1804176498472517632 |
|---|---|
| any_adam_object | |
| author | Mostow, George D. 1923- |
| author_GND | (DE-588)1081049502 |
| author_facet | Mostow, George D. 1923- |
| author_role | aut |
| author_sort | Mostow, George D. 1923- |
| author_variant | g d m gd gdm |
| building | Verbundindex |
| bvnumber | BV043712443 |
| classification_rvk | SI 830 SK 350 |
| collection | ZDB-23-DGG ZDB-23-PST |
| ctrlnum | (ZDB-23-DGG)9781400881833 (OCoLC)1165462698 (DE-599)BVBBV043712443 |
| dewey-full | 516/.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.36 |
| dewey-search | 516/.36 |
| dewey-sort | 3516 236 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1515/9781400881833 |
| format | Electronic eBook |
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| id | DE-604.BV043712443 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:33:08Z |
| institution | BVB |
| isbn | 9781400881833 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029124671 |
| oclc_num | 1165462698 |
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| physical | 1 online resource |
| psigel | ZDB-23-DGG ZDB-23-PST |
| publishDate | 1973 |
| publishDateSearch | 1973 |
| publishDateSort | 1973 |
| publisher | Princeton University Press |
| record_format | marc |
| series | Annals of Mathematics Studies |
| series2 | Annals of Mathematics Studies |
| spelling | Mostow, George D. 1923- (DE-588)1081049502 aut Strong rigidity of locally symmetric spaces G. D. Mostow Princeton, NJ Princeton University Press 1973 © 1973 1 online resource txt rdacontent c rdamedia cr rdacarrier Annals of Mathematics Studies number 78 Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016) Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semi-simple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudo-isometries"; the other is a notion of a quasi-conformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof In English Lie groups Riemannian manifolds Rigidity (Geometry) Symmetric spaces Lokal symmetrischer Raum (DE-588)4168100-9 gnd rswk-swf Rigidität (DE-588)4178149-1 gnd rswk-swf Starrheit Mathematik (DE-588)4326739-7 gnd rswk-swf Lokal symmetrischer Raum (DE-588)4168100-9 s Rigidität (DE-588)4178149-1 s 1\p DE-604 Starrheit Mathematik (DE-588)4326739-7 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 0-691-08136-0 Annals of Mathematics Studies number 78 (DE-604)BV040389493 78 https://doi.org/10.1515/9781400881833?locatt=mode:legacy Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Mostow, George D. 1923- Strong rigidity of locally symmetric spaces Annals of Mathematics Studies Lie groups Riemannian manifolds Rigidity (Geometry) Symmetric spaces Lokal symmetrischer Raum (DE-588)4168100-9 gnd Rigidität (DE-588)4178149-1 gnd Starrheit Mathematik (DE-588)4326739-7 gnd |
| subject_GND | (DE-588)4168100-9 (DE-588)4178149-1 (DE-588)4326739-7 |
| title | Strong rigidity of locally symmetric spaces |
| title_auth | Strong rigidity of locally symmetric spaces |
| title_exact_search | Strong rigidity of locally symmetric spaces |
| title_full | Strong rigidity of locally symmetric spaces G. D. Mostow |
| title_fullStr | Strong rigidity of locally symmetric spaces G. D. Mostow |
| title_full_unstemmed | Strong rigidity of locally symmetric spaces G. D. Mostow |
| title_short | Strong rigidity of locally symmetric spaces |
| title_sort | strong rigidity of locally symmetric spaces |
| topic | Lie groups Riemannian manifolds Rigidity (Geometry) Symmetric spaces Lokal symmetrischer Raum (DE-588)4168100-9 gnd Rigidität (DE-588)4178149-1 gnd Starrheit Mathematik (DE-588)4326739-7 gnd |
| topic_facet | Lie groups Riemannian manifolds Rigidity (Geometry) Symmetric spaces Lokal symmetrischer Raum Rigidität Starrheit Mathematik |
| url | https://doi.org/10.1515/9781400881833?locatt=mode:legacy |
| volume_link | (DE-604)BV040389493 |
| work_keys_str_mv | AT mostowgeorged strongrigidityoflocallysymmetricspaces |