Constructing bounded orbits of special types on homogeneous spaces

Manfred Einsiedler, Dmitry Kleinbock, Anurag Rao

Let $X=G/\Gamma$ be a quotient of a real Lie group by a non-uniform lattice. Consider a one-parameter subgroup $F$ of $G$ that is $\mathrm{Ad}$-diagonalizable over $\mathbb{C}$…