Differential forms on Lipschitz manifolds

DOI10.1007/BF00971687zbMath0522.58001OpenAlexW2051704410MaRDI QIDQ1056102

V. M. Gol'dshtejn, I. A. Shvedov, V. I. Kuz'minov

Publication date: 1982

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00971687

zbMATH Keywords

Sobolev classLipschitz manifoldgeometric integration theoryChern- Weil theory

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Characteristic classes and numbers in differential topology (57R20) Integration on manifolds; measures on manifolds (58C35) de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10)

Related Items (16)

Local finite element approximation of Sobolev differential forms ⋮ Chains and forms in compact metric spaces ⋮ No symplectic Lipschitz structures on S2n≥4 ⋮ Smoothed projections and mixed boundary conditions ⋮ Scalable spaces ⋮ Heat kernel bounds and Ricci curvature for Lipschitz manifolds ⋮ Relative L^p-cohomology and application to Heintze groups ⋮ Unnamed Item ⋮ Variable exponent spaces of differential forms on Riemannian manifold ⋮ Homology of Normal Chains and Cohomology of Charges ⋮ Smoothed projections over weakly Lipschitz domains ⋮ L q,p -Cohomology of Riemannian Manifolds with Negative Curvature ⋮ \(L _{p,q} \)-cohomology of warped cylinders ⋮ Lipschitz algebras and derivations. II: Exterior differentiation ⋮ Some calculations of Orlicz cohomology and Poincaré-Sobolev-Orlicz inequalities ⋮ The \(L_{pq}\)-cohomology of \(\text{SOL}^{(*)}\)

Cites Work

• Manifolds with transverse fields in euclidean space
• Unnamed Item
• Unnamed Item

This page was built for publication: Differential forms on Lipschitz manifolds