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Sbornik: Mathematics, 2007, Volume 198, Issue 2, Pages 147–169
DOI: https://doi.org/10.1070/SM2007v198n02ABEH003832 (Mi sm1112) 		 
This article is cited in 12 scientific papers (total in 12 papers)

Cartan angular invariant and deformations of rank 1 symmetric spaces

B. N. Apanasovab, I. Kimc

a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b University of Oklahoma
c Department of Mathematical Sciences, Seoul National University
English version PDF (369 kB) Citations (12)
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DOI: https://doi.org/10.1070/SM2007v198n02ABEH003832
Abstract: New geometric invariants in the quaternionic hyperbolic space and in the hyperbolic Cayley plane are introduced and studied. In these non-commutative and non-associative geometries they are a substitution for the Toledo invariant and the Cartan angular invariant well known in complex hyperbolic geometry. These new invariants are used for the investigation of quasi-Fuchsian deformations of quaternionic and octonionic hyperbolic manifolds. In particular, bendings are defined for such structures, which are the last two classes of locally symmetric structures of rank 1.
Bibliography: 27 titles.
Received: 13.07.2005 and 31.10.2006
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 2, Pages 3–28
DOI: https://doi.org/10.4213/sm1112
Bibliographic databases:
UDC: 512.813+514.763.4+514.764.227+515.179
MSC: Primary 57M50, 22E40, 57S30; Secondary 32G07, 53C24
Language: English
Original paper language: Russian
Citation: B. N. Apanasov, I. Kim, “Cartan angular invariant and deformations of rank 1 symmetric spaces”, Mat. Sb., 198:2 (2007), 3–28; Sb. Math., 198:2 (2007), 147–169
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:45
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