We derive an approximation of codimension-one integral cycles (and cycles modulo p) in a compact riemannian manifolds by means of piecewise regular cycles: we obtain both flat convergence, and convergence of the masses. The theorem is proved by using suitable principal bundles with discrete group. As a byproduct, we give an alternative proof of the main results in [BO1], [BO2], which does not use the regularity theory for homology minimizers in a riemannian manifold. This gives also a result of G-convergence
Titolo: | Fiber bundles and regular approximation of codimension-one cycles. | |
Autori: | ||
Data di pubblicazione: | 2001 | |
Rivista: | ||
Handle: | http://hdl.handle.net/11562/16319 | |
Appare nelle tipologie: | 01.01 Articolo in Rivista |
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