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arXiv · 2601.10017

On the Sasakian Structure of Manifolds with Nonnegative Transverse Bisectional Curvature

Shu-Cheng Chang·Yingbo Han·Chien Lin·Chin-Tung Wu
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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 $\mathbb{R}^{5}$.

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Shu-Cheng Chang, Yingbo Han, Chien Lin, Chin-Tung Wu. 2026-01-15. On the Sasakian Structure of Manifolds with Nonnegative Transverse Bisectional Curvature. https://arxiv.org/abs/2601.10017

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