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A flat Lorentz space form is a geodesically complete Lorentzian manifold of zero curvature. It is well known (see Auslander & Markus [3]) that such a space M may be represented as a quotient Rw /Γ,...
In this paper, we investigate the necessary sufficient conditions for the exactness of the homotopy sequence of Nori's fundamental group and apply these to various special situations to regain some cl...
Abstract: We introduce the fundamental group ${\mathcal F}(\mathcal{R}_{G, \phi})$ of a uniquely ergodic Cantor minimal $G$-system $\mathcal{R}_{G, \phi}$ where $G$ is a countable discrete group. We c...
In this work we investigate the relation between the fundamental group of a complete Riemannian manifold M and the quotient between the Weyl group and reflection group of a polar action on M, as well ...
We show that the existence of an embedded compact, boundaryless hypersurface S of strictly positive mean curvature in a noncompact, connected, complete Riemannian n-manifold N of non- negative Ricci...
On X projective smooth over an algebraically closed field of characteristic p > 0, we show that irreducible stratified bundles have rank 1 if and only if the commutator [´et 1 , ´et 1 ]...
It is known that viewing the fundamental group 1(X) as the quotient space of X does not always give rise to a topological group.
THE PROJECTIVITY OF THE FUNDAMENTAL GROUP OF AN AFFINE LINE
We explain how a version of Floer homology can be used as an invariant of symplectic manifolds with b1>0. As a concrete example, we look at four-manifolds produced from braids by a surgery constructio...
In this article, we introduce the fundamental group of foldings of the Cartesian product of manifolds into itself. Also the fundamental group of the limit of foldings of the Cartesian product of man...

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