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

Fiber bundles and regular approximation of codimension-one cycles.

BALDO, Sisto;ORLANDI, Giandomenico
2001

Abstract

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
Geometric Measure Theory; G - convergence; homology groups; fiber bundles; minimal surfaces
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11562/16319
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