Operator calculus of differential chains and differential forms

DOI10.1007/s12220-013-9433-6zbMath1325.58003arXiv1210.4528OpenAlexW2963950286WikidataQ115376845 ScholiaQ115376845MaRDI QIDQ2256840

Jenny Harrison

Publication date: 23 February 2015

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.4528

zbMATH Keywords

differential formsStokes' theoreminductive limitcurrentsextrusionDiractopological vector spaceLaplacedivergence theoremdifferential chainsprederivativepushforward

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10) Currents in global analysis (58A25)

Related Items (11)

Towards a mathematical theory of the Madelung equations: Takabayasi’s quantization condition, quantum quasi-irrotationality, weak formulations, and the Wallstrom phenomenon ⋮ Reynolds transport theorem for smooth deformations of currents on manifolds ⋮ On the role of sharp chains in the transport theorem ⋮ Existence of solutions to a general geometric elliptic variational problem ⋮ Towards geometric integration of rough differential forms ⋮ The Differentiation Lemma and the Reynolds Transport Theorem for submanifolds with corners ⋮ Soap film solutions to Plateau's problem ⋮ A transport theorem for nonconvecting open sets on an embedded manifold ⋮ A direct approach to Plateau's problem ⋮ Whitney forms and their extensions ⋮ The Poincaré lemma, antiexact forms, and fermionic quantum harmonic oscillator

Cites Work

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