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math.DG2026
Ricci pinching on complete Kahler manifolds
Gang Liu, Lei Ni
We study Ricci pinching problem on complete Kähler manifolds. For complete noncompact manifolds with Euclidean volume growth, we prove flatness under nonnegative bisectional curvat…
math.RT2026
Symplectic Dirac operators on homogeneous spaces
Dan Ciubotaru, Gang Liu, Salah Mehdi +1
We define symplectic Dirac operators on homogeneous spaces and study their representation-theoretic role. For an invariant polarization, the symplectic Dirac operator decomposes in…