Xiangdong Xie

1. Pansu pullback and rigidity of mappings between Carnot groups
   2020/04/20 by Bruce Kleiner, Stefan Müller, Kleiner, Bruce +3 · 2 citations
   Mathematics · #30C65 (Primary) #30L10 #53C17 (Secondary) #Analytic and geometric function theory #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Metric Geometry (math.MG) #Nonlinear Partial Differential Equations
2. Pansu pullback and exterior differentiation for Sobolev maps on Carnot groups
   2020/07/13 by Bruce Kleiner, Kleiner, Bruce, Stefan Müller +3 · 2 citations
   Mathematics · #Geometric Analysis and Curvature Flows #Analytic and geometric function theory #Geometry and complex manifolds
3. Sobolev mappings and the Rumin complex
   2021/01/12 by Bruce Kleiner, Kleiner, Bruce, Stefan Müller +3 · 1 citation
   Mathematics · #30C65 (Primary) #30L10 #53C17 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds
4. Sobolev mappings between nonrigid Carnot groups
   2021/12/03 by Bruce Kleiner, Kleiner, Bruce, Stefan C. Müller +3 · 1 citation
   Mathematics · Biochemistry, Genetics and Molecular Biology · Engineering · #Geometric Analysis and Curvature Flows #Dermatological and Skeletal Disorders #Elasticity and Material Modeling
5. Sobolev mappings and the spectral sequence for Rumin's filtration on the de Rham complex
   2022/05/09 by Bruce Kleiner, Stefan C. Müller, Kleiner, Bruce +3 · 1 citation
   Mathematics · #30C65 (Primary) #30L10 #53C17 (Secondary) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology
6. Rough similarity of left-invariant Riemannian metrics on some Lie groups
   2022/08/12 by Enrico Le Donne, Donne, Enrico Le, Gabriel Pallier +3 · 1 citation
   Mathematics · #20F69 #22E25 #53C23 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric Topology (math.GT) #Geometry and complex manifolds #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology #Metric Geometry (math.MG)
7. Rigidity of Euclidean product structure: breakdown for low Sobolev exponents
   2024/03/29 by Bruce Kleiner, Stefan Müller, Kleiner, Bruce +5 · 1 citation
   Materials Science · Mathematics · #Material Properties and Failure Mechanisms #Mathematical Approximation and Integration