Isometric equivalence of isometries on $H^p$

Isometric Embeddings, Einstein Metrics and Extension of Isometries

We prove that continuous groups of isometries at a compact boundary (∂M, γ) extend to continuous groups of isometries of any Einstein filling manifold (M, g) provided, for instance, π1(M,∂M) = 0.

On Commutators of Isometries and Hyponormal Operators

A sufficient condition is obtained for two isometries to be unitarily equivalent. Also, a new class of M-hyponormal operator is constructed

Coarse differentiation of quasi-isometries I: spaces not quasi-isometric to Cayley graphs

In this paper, we prove that certain spaces are not quasi-isometric to Cayley graphs of finitely generated groups. In particular, we answer a question of Woess and prove a conjecture of Diestel and Leader by showing that certain homogeneous graphs are not quasi-isometric to a Cayley graph of a finitely generated group. This paper is the first in a sequence of papers proving results announced in...

On Galilean Isometries

Quite recently, Carter and Khalatnikov [CK] have pointed out that a geometric fourdimensional formulation of the non relativistic Landau theory of perfect superfluid dynamics should involve not only Galilei covariance but also, more significantly as far as gravitational effects are concerned, covariance under a larger symmetry group which they call the Milne group after Milne’s pioneering work ...

On Isometries of Square Sets