Sykes, D

Schmalz, G

Ezhov, V V

2021-06

<p>In this article we regard spherical hypersurfaces in C² 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>

Izvestiya: Mathematics, 85(3), p. 518-528

1468-4810

1064-5632

https://hdl.handle.net/1959.11/51892

Turpion Ltd

On the classification of 3-dimensional spherical Sasakian manifolds

Journal Article

Publication