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dg-ga1997★ 1 cited
Systolic freedom of orientable manifolds
Ivan Babenko, Mikhail Katz
In 1972, Marcel Berger defined a metric invariant that captures the `size' of k-dimensional homology of a Riemannian manifold. This invariant came to be called the k-dimensional SY…
dg-ga1997★ 2 cited
Volumes, middle-dimensional systoles, and Whitehead products
Ivan K. Babenko, Mikhail G. Katz, Alexander I. Suciu
Let X be a closed manifold of dimension 2m >= 6 with torsion-free middle-dimensional homology. We construct metrics on X of arbitrarily small volume, such that every middle-dimensi…