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Quaternionic contact : Einstein structures and the quaternionic contact Yamabe problems /
A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given. It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2014.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1086. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_ocn881688889 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 140624s2014 riu ob 001 0 eng | ||
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| 019 | |a 1259244975 |a 1260322053 | ||
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| 020 | |a 1470417227 |q (online) | ||
| 020 | |z 9780821898437 |q (alk. paper) | ||
| 020 | |z 0821898434 |q (alk. paper) | ||
| 035 | |a (OCoLC)881688889 |z (OCoLC)1259244975 |z (OCoLC)1260322053 | ||
| 050 | 4 | |a QA649 |b .I93 2014 | |
| 082 | 0 | 4 | |a 516.3/62 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Ivanov, Stefan P., |e author. | |
| 245 | 1 | 0 | |a Quaternionic contact : |b Einstein structures and the quaternionic contact Yamabe problems / |c Stefan Ivanov, Ivan Minchev, Dimiter Vassilev. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2014. | |
| 300 | |a 1 online resource (v, 82 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v number 1086 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 231, number 1086 (third of 5 numbers), September 2014." | ||
| 504 | |a Includes bibliographical references (pages 77-79) and index. | ||
| 505 | 0 | |a Introduction -- Quaternionic contact structures and the Biquard connection -- The torsion and curvature of the Biquard connection -- QC-Einstein quaternionic contact structures -- Conformal transformations of a qc-structure -- Special functions and pseudo-Einstein quaternionic contact structures -- Infinitesimal automorphisms -- Quaternionic contact Yamabe problem. | |
| 520 | |a A partial solution of the quaternionic contact Yamabe problem on the quaternionic sphere is given. It is shown that the torsion of the Biquard connection vanishes exactly when the trace-free part of the horizontal Ricci tensor of the Biquard connection is zero and this occurs precisely on 3-Sasakian manifolds. All conformal transformations sending the standard flat torsion-free quaternionic contact structure on the quaternionic Heisenberg group to a quaternionic contact structure with vanishing torsion of the Biquard connection are explicitly described. A ""3-Hamiltonian form"" of infinitesima | ||
| 546 | |a Text in English. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Contact manifolds. | |
| 650 | 0 | |a Group theory. | |
| 650 | 6 | |a Géométrie différentielle. | |
| 650 | 6 | |a Variétés de contact (Géométrie) | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 7 | |a Contact manifolds |2 fast | |
| 650 | 7 | |a Geometry, Differential |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 700 | 1 | |a Minchev, Ivan |c (Mathematics professor), |e author. |1 https://id.oclc.org/worldcat/entity/E39PCjJ78mt8RKTCmQPVmppjJC | |
| 700 | 1 | |a Vassilev, Dimiter N., |e author. | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Quaternionic contact (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGM89CBRXCDVpmH33RcVRX |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Ivanov, Stefan P. |t Quaternionic contact. |d Providence, Rhode Island : American Mathematical Society, 2014 |z 9780821898437 |w (DLC) 2014015536 |w (OCoLC)879329686 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1086. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5295304 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37444880 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5295304 | ||
| 938 | |a YBP Library Services |b YANK |n 12358251 | ||
| 994 | |a 92 |b IZTAP | ||