The geometry of generalized loxodromic elements

Loxodromic Elements in the Cyclic Splitting Complex and Their Centralizers

We show that an outer automorphism acts loxodromically on the cyclic splitting complex if and only if it has a filling lamination and no generic leaf of the lamination is carried by a vertex group of a cyclic splitting. This is the analog for the cyclic splitting complex of HandelMosher’s theorem on loxodromics for the free splitting complex. We also show that such outer automorphisms have virt...

The geometry of purely loxodromic subgroups of right-angled Artin groups

We prove that finitely generated purely loxodromic subgroups of a right-angled Artin group A(Γ) fulfill equivalent conditions that parallel characterizations of convex cocompactness in mapping class groups Mod(S). In particular, such subgroups are quasiconvex in A(Γ). In addition, we identify a milder condition for a finitely generated subgroup of A(Γ) that guarantees it is free, undistorted, a...

Convex Geometry of the Generalized

Generalized matrix-fractional (GMF) functions are a class of matrix support func4 tions introduced by Burke and Hoheisel as a tool for unifying a range of seemingly divergent matrix 5 optimization problems associated with inverse problems, regularization and learning. In this paper 6 we dramatically simplify the support function representation for GMF functions as well as the rep7 resentation o...

The Einstein Generalized Riemannian Geometry.

s, p. 85. 2 Eggers, H. J., Cold Spring Harbor Symposia on Quantitative Biology, vol. 27 (1962) 309. 3Loddo, B., W. Ferrari, A. Spanedda, and G. Brotzu, Experientia, 18, 518 (1962). 4Ledinko, N., Cold Spring Harbor Symposia on Quantitative Biology, vol. 27 (1962) 309. 5 Eggers, H. J., and I. Tamm, J. Exptl. Med., 113, 657 (1961). 6 Eggers, H. J., and I. Tamm, Virology, 13, 545 (1961). 7Rightsel,...

Generalized Geometry , Parallelizability and Non Geometry