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math.DG2026
Rigidity of Einstein Manifolds under Two Eigenvalue Conditions on the Curvature Operator of the Second Kind
Haiqing Cheng, Kui Wang
We prove a rigidity theorem for closed Einstein manifolds of dimension under two lower bounds on the curvature operator of the second kind. More precisely, for $L_1, L_2\ge…
math.DG2026
Cone Conditions for the Curvature Operator of the Second Kind on Einstein Manifolds
Haiqing Cheng, Kui Wang
In this note, we study Einstein manifolds whose curvature operator of the second kind satisfies the cone condition \[ α^{-1}\big(\sum_{i=1}^{[α]} λ_i+ (α- [α] ) λ_{[…