HOMOTOPICALLY PERIODIC MAPS OF 3-MANIFOLDS WITH $P{\widetilde{SL(2,}}\mathbb{R})$-GEOMETRY

In this paper, we show that for a homotopically periodic (i.e., $fk{\simeq}id$, for some $k{\geq}1$) self map f of a Seifert 3-manifold with $P{\widetilde{SL(2,}}\mathbb{R})$-geometry, N(f) = L(f) = 0.