If the CR Yamabe invariant of a Sasaki manifold attains the minimum determined by its Reeb cone, the manifold is K-semistable, linking CR analysis to algebraic stability.
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The CR Yamabe invariant and constant scalar curvature Sasaki metrics
If the CR Yamabe invariant of a Sasaki manifold attains the minimum determined by its Reeb cone, the manifold is K-semistable, linking CR analysis to algebraic stability.