Sasakian Geometry on Sphere Bundles II: Constant Scalar Curvature
Fuente:
arXiv
Guardado en:
| Autores principales: | , |
|---|---|
| Formato: | Preprint |
| Publicado: |
2023
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1866916443521548288 |
|---|---|
| author | Boyer, Charles P. Tønnesen-Friedman, Christina W. |
| author_facet | Boyer, Charles P. Tønnesen-Friedman, Christina W. |
| contents | In a previous paper [BTF21] the authors employed the fiber join construction of Yamazaki [Yam99] together with the admissible construction of Apostolov, Calderbank, Gauduchon, and Tønnesen-Friedman [ACGTF08a] to construct new extremal Sasaki metrics on odd dimensional sphere bundles over smooth projective algebraic varieties. In the present paper we continue this study by applying a recent existence theorem [BHLTF23] that shows that under certain conditions one can always obtain a constant scalar curvature Sasaki metric in the Sasaki cone. Moreover, we explicitly describe this construction for certain sphere bundles of dimension 5 and 7. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_05544 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Sasakian Geometry on Sphere Bundles II: Constant Scalar Curvature Boyer, Charles P. Tønnesen-Friedman, Christina W. Differential Geometry 53D42 In a previous paper [BTF21] the authors employed the fiber join construction of Yamazaki [Yam99] together with the admissible construction of Apostolov, Calderbank, Gauduchon, and Tønnesen-Friedman [ACGTF08a] to construct new extremal Sasaki metrics on odd dimensional sphere bundles over smooth projective algebraic varieties. In the present paper we continue this study by applying a recent existence theorem [BHLTF23] that shows that under certain conditions one can always obtain a constant scalar curvature Sasaki metric in the Sasaki cone. Moreover, we explicitly describe this construction for certain sphere bundles of dimension 5 and 7. |
| title | Sasakian Geometry on Sphere Bundles II: Constant Scalar Curvature |
| topic | Differential Geometry 53D42 |
| url | https://arxiv.org/abs/2309.05544 |