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math.DG2002
Local calibration of mass and systolic geometry
Mikhail Katz
We prove the simultaneous (k,n-k)-systolic freedom, for a pair of adjacent integers k smaller than n/2, of a simply connected n-manifold X. Our construction, related to recent resu…
math.DG2002
Stable systolic inequalities and cohomology products
Victor Bangert, Mikhail Katz
Multiplicative relations in the cohomology ring of a manifold impose constraints upon its stable systoles. Given a compact Riemannian manifold (X,g), its real homology H_*(X,R) is…