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On the classification of -dimensional spherical Sasakian manifoldsстатья
Информация о цитировании статьи получена из
Scopus
Дата последнего поиска статьи во внешних источниках: 16 июня 2023 г.
- Авторы: Sykes D., Schmalz G., Ezhov V.V.
- Журнал: Izvestiya
- Том: 85
- Номер: 3
- Год издания: 2021
- Первая страница: 518
- Последняя страница: 528
- DOI: 10.1070/im9046
- Аннотация: In this article we regard spherical hypersurfaces in C^2 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.
- Добавил в систему: Ежов Владимир Владимирович