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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
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
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
Linking options:
https://www.mathnet.ru/eng/sm1112https://doi.org/10.1070/SM2007v198n02ABEH003832 https://www.mathnet.ru/eng/sm/v198/i2/p3
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Abstract page: | 419 | Russian version PDF: | 205 | English version PDF: | 5 | References: | 45 | First page: | 1 |
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