34 citations · 88 across the 17 of their papers we have counts for
4 papers · 1 filter
Relative systoles of relative-essential 2-complexes
Karin U. Katz, Mikhail G. Katz, Stephane Sabourau +2
We prove a systolic inequality for the phi-relative 1-systole of a phi-essential 2-complex, where phi is a homomorphism from the fundamental group of the complex, to a finitely pre…
Cayley 4-form, comass, and triality isomorphisms
Mikhail G. Katz, Steven Shnider
Following an idea of Dadok, Harvey and Lawson, we apply the triality property of SO(8) to study the comass of certain self-dual 4-forms on R^8. In particular, we prove that the Cay…
E_7, Wirtinger inequalities, Cayley 4-form, and homotopy
Victor Bangert, Mikhail G. Katz, Steven Shnider +1
We study optimal curvature-free inequalities of the type discovered by C. Loewner and M. Gromov, using a generalisation of the Wirtinger inequality for the comass. Using a model fo…
Differential Operator Endomorphisms of an Euler-Lagrange Complex
Martin Markl, Steve Shnider
The main results of our paper deal with the lifting problem for multilinear differential operators between complexes of horizontal de Rham forms on the infinite jet bundle. We answ…