dorsal/arxiv
View SchemaOn the Sasakian Structure of Manifolds with Nonnegative Transverse Bisectional Curvature
| Authors | Shu-Cheng Chang, Yingbo Han, Chien Lin, Chin-Tung Wu |
|---|---|
| Categories | |
| ArXiv ID | 2601.10017vv1 |
| URL | https://arxiv.org/abs/2601.10017 |
| License | http://creativecommons.org/licenses/by/4.0/ |
Abstract
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 $\mathbb{R}^{5}$.
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"abstract": "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 $\\mathbb{R}^{5}$.",
"arxiv_id": "2601.10017",
"authors": [
"Shu-Cheng Chang",
"Yingbo Han",
"Chien Lin",
"Chin-Tung Wu"
],
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"math.DG"
],
"license": "http://creativecommons.org/licenses/by/4.0/",
"title": "On the Sasakian Structure of Manifolds with Nonnegative Transverse Bisectional Curvature",
"url": "https://arxiv.org/abs/2601.10017",
"version": "v1"
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