Differential Geometry

math.DG

Riemannian geometry, gauge theory, and global analysis.

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Calabi Curvature Operator Characterizes Complex Projective Space

A new Bochner identity turns a Calabi-operator positivity condition into a rigidity result for Kähler–Einstein manifolds.

Aug 26, 20263 min2608.23778

Hyperbolic Symmetry Settles Rigidity on Higher-Genus Surfaces

Lifting frameworks to the hyperbolic plane turns surface rigidity into a finite gain-graph condition with a 2|V|-edge tightness rule.

Jul 13, 20264 min2607.05023