On the Sasakian Structure of Manifolds with Nonnegative Transverse Bisectional Curvature
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912825061933056 |
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| author | Chang, Shu-Cheng Han, Yingbo Lin, Chien Wu, Chin-Tung |
| author_facet | Chang, Shu-Cheng Han, Yingbo Lin, Chien Wu, Chin-Tung |
| contents | In this paper, we concern with the Sasaki analogue of Yau uniformization conjecture in a complete noncompact Sasakian manifold with nonnegative transverse bisectional curvature. As a consequence, we confirm that any $5$-dimensional complete noncompact Sasakian manifold with positive transverse bisectional curvature and the maximal volume growth must be CR-biholomorphic to the standard Heisenberg group $\mathbb{H}_{2}$ which can be stated as the standard contact Euclidean $5$-space $\mathbb{R}^{5}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_10017 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the Sasakian Structure of Manifolds with Nonnegative Transverse Bisectional Curvature Chang, Shu-Cheng Han, Yingbo Lin, Chien Wu, Chin-Tung Differential Geometry 32V05, 32V20, 53C56 In this paper, we concern with the Sasaki analogue of Yau uniformization conjecture in a complete noncompact Sasakian manifold with nonnegative transverse bisectional curvature. As a consequence, we confirm that any $5$-dimensional complete noncompact Sasakian manifold with positive transverse bisectional curvature and the maximal volume growth must be CR-biholomorphic to the standard Heisenberg group $\mathbb{H}_{2}$ which can be stated as the standard contact Euclidean $5$-space $\mathbb{R}^{5}$. |
| title | On the Sasakian Structure of Manifolds with Nonnegative Transverse Bisectional Curvature |
| topic | Differential Geometry 32V05, 32V20, 53C56 |
| url | https://arxiv.org/abs/2601.10017 |