For M diffeomorphic to CP^n with scal_g ≥ 4n(n+1), sys_2^st(M,g) ≤ π with equality only for the Fubini-Study metric.
Calabi’s conjecture and some new results in algebraic geometry
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Survey of known results on the bottom of the spectrum of the Hodge Laplacian on complete noncompact Kähler manifolds, including upper bounds under curvature assumptions and rigidity theorems.
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Stable $2$-systoles, scalar curvature and spin$^c$ comass bounds
For M diffeomorphic to CP^n with scal_g ≥ 4n(n+1), sys_2^st(M,g) ≤ π with equality only for the Fubini-Study metric.
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Bottom of the spectrum of complete noncompact K\"{a}hler manifolds
Survey of known results on the bottom of the spectrum of the Hodge Laplacian on complete noncompact Kähler manifolds, including upper bounds under curvature assumptions and rigidity theorems.