Isometry Groups of Riemannian Solvmanifolds
Isometry Groups of Riemannian Solvmanifolds
A simply connected solvable Lie group R together with a leftinvariant Riemannian metric g is called a (simply connected) Riemannian solvmanifold.Two Riemannian solvmanifolds (R,g) and (R',g') may be isometric even when R and R' are not isomorphic.This article addresses the problems of (i) finding the "nicest" realization (R, g) of …