1 citations · 3 across the 10 of their papers we have counts for
Showing 2003Show all
3 papers · 1 filter
math.DG2003★ 1 cited
An optimal Loewner-type systolic inequality and harmonic one-forms of constant norm
Victor Bangert, Mikhail Katz
We present a new optimal systolic inequality for a closed Riemannian manifold X, which generalizes a number of earlier inequalities, including that of C. Loewner. We characterize t…
math.DG2003
Four-manifold systoles and surjectivity of period map
Mikhail G. Katz
P. Buser and P. Sarnak showed in 1994 that the maximum, over the moduli space of Riemann surfaces of genus s, of the least conformal length of a nonseparating loop, is logarithmic…
math.DG2003★ 1 cited
Universal volume bounds in Riemannian manifolds
Christopher B. Croke, Mikhail G. Katz
In this survey article we will consider universal lower bounds on the volume of a Riemannian manifold, given in terms of the volume of lower dimensional objects (primarily the leng…