4 papers
Eigenvalue Estimates for Schrödinger Operators on Ricci Shrinkers
Xu Cheng, Franciele Conrado, Neilha Pinheiro +1
Let be a complete Ricci shrinker satisfying and let denote its scalar curvature. For a confined function on , we o…
Divergence Identity for the scalar curvature and Rigidity of Codazzi Tensors
Xu Cheng, Andrés Lipa, Detang Zhou
We introduce a local vector field on an -dimensional Riemannian manifold, defined as the sum of the covariant derivatives of a local orthonormal frame, and derive an explicit id…
Structural stability for the bidirectional cyclic negative feedback systems
Xu Cheng, Yi Wang, Dun Zhou
The present paper investigates the structural stability of bidirectional cyclic negative feedback systems. To address this, we develop a generalized Floquet theory and construct ne…
A class of generalized Nesterov's accelerated gradient method from dynamical perspective
Xu Cheng, Jiaqi Liu, Zaijiu Shang
We propose a class of \textit{Euler-Lagrange} equations indexed by a pair of parameters () that generalizes Nesterov's accelerated gradient methods for convex () and st…