Open Access
Dec. 2004 A classification of three dimensional regular projectively Anosov flows
Masayuki Asaoka
Proc. Japan Acad. Ser. A Math. Sci. 80(10): 194-197 (Dec. 2004). DOI: 10.3792/pjaa.80.194

Abstract

We give a classification of $C^2$-regular projectively Anosov flows on closed three dimensional manifolds. More precisely, we show that if the manifold is connected then such a flow must be either an Anosov flow or represented as a finite union of $\mathbf{T}^2 \times I$-models.

Citation

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Masayuki Asaoka. "A classification of three dimensional regular projectively Anosov flows." Proc. Japan Acad. Ser. A Math. Sci. 80 (10) 194 - 197, Dec. 2004. https://doi.org/10.3792/pjaa.80.194

Information

Published: Dec. 2004
First available in Project Euclid: 18 May 2005

zbMATH: 1160.37337
MathSciNet: MR2112247
Digital Object Identifier: 10.3792/pjaa.80.194

Subjects:
Primary: 37D30
Secondary: 57R30

Keywords: bi-contact structures , conformally Anosov systems , Projectively Anosov system

Rights: Copyright © 2004 The Japan Academy

Vol.80 • No. 10 • Dec. 2004
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