On the classification of 3-dimensional spherical Sasakian manifolds

Author(s)
Sykes, D
Schmalz, G
Ezhov, V V
Publication Date
2021-06
Abstract
<p>In this article we regard spherical hypersurfaces in C<sup>2</sup> with a fixed Reeb vector field as 3-dimensional Sasakian manifolds. We establish a correspondence between three different sets of parameters, namely, those arising from representing the Reeb vector field as an automorphism of the Heisenberg sphere, those used in Stanton’s description of rigid spheres, and those arising from the rigid normal forms. We also describe geometrically the moduli space for rigid spheres and provide a geometric distinction between Stanton hypersurfaces and those found in [1]. Finally, we determine the Sasakian automorphism groups of rigid spheres and detect the homogeneous Sasakian manifolds among them.</p>
Citation
Izvestiya: Mathematics, 85(3), p. 518-528
ISSN
1468-4810
1064-5632
Link
Publisher
Turpion Ltd
Title
On the classification of 3-dimensional spherical Sasakian manifolds
Type of document
Journal Article
Entity Type
Publication

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