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Title: Elliptic CR-manifolds and shear invariant ordinary differential equations with additional symmetries
Contributor(s): Ezhov, Vladimir (author); Schmalz, Gerd (author)orcid 
Publication Date: 2007
DOI: 10.1007/s11512-007-0049-6
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Abstract: We classify the ordinary differential equations that correspond to elliptic CR-manifolds with maximal isotropy. It follows that the dimension of the isotropy group of an elliptic CR-manifold can only be 10 (for the quadric), 4 (for the listed examples) or less. This is in contrast with the situation of hyperbolic CR-manifolds, where the dimension can be 10 (for the quadric), 6 or 5 (for semi-quadrics) or less than 4. We also prove that, for all elliptic CR-manifolds with non-linearizable isotropy group, except for two special manifolds, the points with non-linearizable isotropy form exactly some complex curve on the manifold.
Publication Type: Journal Article
Source of Publication: Arkiv foer Matematik, 45(2), p. 253-268
Publisher: Springer Netherlands
Place of Publication: Amsterdam, The Netherlands
ISSN: 0004-2080
Field of Research (FOR): 010199 Pure Mathematics not elsewhere classified
Peer Reviewed: Yes
HERDC Category Description: C1 Refereed Article in a Scholarly Journal
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Appears in Collections:Journal Article
School of Science and Technology

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