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Robustness of CSC Sasaki existence under the join operation

Charles P. Boyer, Christina W. Tønnesen-Friedman · 2026 · math.DG · DOI 10.48550/arxiv.2604.09893 · arXiv 2604.09893

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abstract

The main purpose of this work is to explore the existence of constant scalar curvature Sasaki metrics in the Sasaki cone of the join of two regular Sasaki manifolds, $M_1$ and $M_2$. Furthermore, we consider some cases of continuous families of extremal Sasaki twins.

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2026 1

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The toric CR Yamabe problem

math.DG · 2026-07-29 · accept · novelty 6.0

On any compact toric contact manifold of Reeb type, T-invariant CR structures realize both positive and negative CR Yamabe invariants, via a polytope PDE reduction.

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  • The toric CR Yamabe problem math.DG · 2026-07-29 · accept · none · ref 22 · internal anchor

    On any compact toric contact manifold of Reeb type, T-invariant CR structures realize both positive and negative CR Yamabe invariants, via a polytope PDE reduction.