Journal
JOURNAL OF FUNCTIONAL ANALYSIS
Volume 282, Issue 7, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jfa.2021.109378
Keywords
Metric currents; Integral currents; Indecomposable currents; Lipschitz curves
Categories
Funding
- European Research Council (ERC) under the European Union [757254]
- Academy of Finland [314789]
- Balzan project
- European Research Council (ERC) [757254] Funding Source: European Research Council (ERC)
- Academy of Finland (AKA) [314789, 314789] Funding Source: Academy of Finland (AKA)
Ask authors/readers for more resources
In this study, we prove that integral currents in complete metric spaces can be decomposed into a sum of indecomposable components. In the special case of one-dimensional integral currents, we also show that the indecomposable components are exactly those associated with injective Lipschitz curves or injective Lipschitz loops, extending Federer's characterisation to metric spaces. Moreover, we discuss some applications of our main results.
In the setting of complete metric spaces, we prove that integral currents can be decomposed as a sum of indecomposable components. In the special case of one-dimensional integral currents, we also show that the indecomposable ones are exactly those associated with injective Lipschitz curves or injective Lipschitz loops, therefore extending Federer's characterisation to metric spaces. Moreover, some applications of our main results will be discussed. (C) 2021 Elsevier Inc. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available
Share Paper
