Let G be a connected Lie group and Γ be a lattice in G; that is, Γ is a discrete subgroup of G
such that G/Γ admits a finite G-invariant measure. Let {gt} teP be a oneparameter subgroup …

A well-known class of flows arises as follows: Let G be a semisimple Lie group and F be a
lattice in G, that is, F is a discrete subgroup such that G/F admits a finite measure invariant …

Let G be a connected Lie group and let Γ be a lattice in G (not necessarily co-compact). We
show that if (ut) is a unipotent one-parameter subgroup of G then every ergodic invariant …

Study of orbits of unipotent flows, namely flows induced by unipotent subgroups, on
homogeneous spaces of Lie groups plays an important role in some questions in …

1. Introduction. Let G be a Lie group and F a lattice in G; that is, F is a discrete subgroup of G
such that G/F admits a finite G-invariant measure. Let u: RG be a unipotent one-parameter …

The study of geodesic flows on homogeneous spaces is an area of research that has
recently yielded some fascinating developments. This book focuses on many of these, with …

Let G be a connected Lie group, F be a lattice in G and U={ut},~ R be a unipotent one-
parameter subgroup of G, viz. Adu is a unipotent linear transformation for all u~ U. Consider …

Let G be a Lie group and Γ be a discrete subgroup. We show that if {μn} is a convergent
sequence of probability measures on G/Γ which are invariant and ergodic under actions of …

We show that if (ut) is a one-parameter subgroup of SL (n, ℝ) consisting of unipotent
matrices, then for any ε> 0 there exists a compact subset K of SL (n, ℝ)/SL (n, ℤ) such that …

Let {gt} be a nonquasiunipotent one-parameter subgroup of a connected semisimple Lie
group G without compact factors; we prove that the set of points in a homogeneous space …