Xu Cheng

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math.DG2026

Eigenvalue Estimates for SchrÃ¶dinger Operators on Ricci Shrinkers

Xu Cheng, Franciele Conrado, Neilha Pinheiro +1

Let $(M, g, f, I ¨ )$ be a complete Ricci shrinker satisfying $Ric + \nabla^{2} f = \frac{g}{2 I ¨ }$ and let $R$ denote its scalar curvature. For a confined function $V$ on $M$ , we o…

math.DG2026

Divergence Identity for the scalar curvature and Rigidity of Codazzi Tensors

We introduce a local vector field on an $n$ -dimensional Riemannian manifold, defined as the sum of the covariant derivatives of a local orthonormal frame, and derive an explicit id…