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Graduate Mathematics·Song Sun
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Sasaki Geometry and Positive Curvature
Song Sun classifies simply connected compact Sasaki manifolds with positive transverse bisectional curvature, offering an alternative proof for the Mori-Siu-Yau theorem and extending it to orbifolds.
Abstract: We classify simply connected compact Sasaki manifolds with positive transverse bisectional curvature. In particular, the moduli space of all such manifolds can be contracted to a point—the standard round sphere. This provides an alternative proof of the Mori-Siu-Yau theorem on Frankel conjecture as well as extends it to the orbifold case.