New curvature characterization for the weighted Sasaki sphere

2025/08/21 by Ho, Pak Tung, Wu, Kuang-Ru
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2508.15560

Abstract

In this paper, we use the shifted cones introduced by Yang and Zhang to classify Sasaki manifolds. This gives a new curvature characterization for the weighted Sasaki sphere.

Citations

• Sasaki manifolds with positive transverse orthogonal bisectional curvature
• The generalized Frankel conjecture in Sasaki geometry
• Frankel Conjecture and Sasaki geometry
• Manifolds with 1/4-pinched Curvature are Space Forms
• Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds
• Complete manifolds with nonnegative curvature operator
• Plurisubharmonic functions and the structure of complete Kähler manifolds with nonnegative curvature

Related

• Berglund-Hübsch Transpose Rule and Sasakian Geometry
• Reduction of Sasakian manifolds
• Curvature of the Completion of the Space of Sasaki Potentials
• Constant Scalar Curvature Sasaki Metrics and Projective Bundles
• Submanifolds and the Sasaki Metric