Flat Forms in Banach Spaces

We define a flat partial differential form in a Banach space and show that the space of these forms is isometrically the dual space of the space of flat chains as defined by T. Adams.

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Bibliographic Details
Published in:The Journal of geometric analysis 2013-04, Vol.23 (2), p.490-538
Main Author: Snipes, Marie A.
Format: Article
Language:English
Subjects:
Abstract Harmonic Analysis
Convex and Discrete Geometry
Differential Geometry
Dynamical Systems and Ergodic Theory
Fourier Analysis
Global Analysis and Analysis on Manifolds
Mathematics
Mathematics and Statistics
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Description
Summary:We define a flat partial differential form in a Banach space and show that the space of these forms is isometrically the dual space of the space of flat chains as defined by T. Adams.
ISSN:1050-6926
1559-002X
DOI:10.1007/s12220-011-9246-4