Flat currents modulo p in metric spaces and filling radius inequalities

Details Flat currents modulo p in metric spaces and filling radius inequalities Flat currents modulo p in metric spaces and filling radius inequalities

2010-04-08

arxiv.org/abs/1004.1374v2

Mathematics

Differential Geometry

31 pages, to appear in Commentarii Mathematici Helvetici

Scientific paper

We adapt the theory of currents in metric spaces, as developed by the first-mentioned author in collaboration with B. Kirchheim, to currents with coefficients in Z_p. Building on S. Wenger's work in the orientable case, we obtain isoperimetric inequalities mod(p) in Banach spaces and we apply these inequalities to provide a proof of Gromov's filling radius inequality (and therefore also the systolic inequality) which applies to nonorientable manifolds, as well. With this goal in mind, we use the Ekeland principle to provide quasi-minimizers of the mass mod(p) in the homology class, and use the isoperimetric inequality to give lower bounds on the growth of their mass in balls.

Affiliated with

Also associated with

No associations

Rating

Flat currents modulo p in metric spaces and filling radius inequalities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Flat currents modulo p in metric spaces and filling radius inequalities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Flat currents modulo p in metric spaces and filling radius inequalities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-713447