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THE FUNDAMENTAL GROUP OF A COMPACT FLAT LORENTZ SPACE FORM IS VIRTUALLY POLYCYCLIC
lorentz Multi-loop spatial form
2015/9/29
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,...
The Homotopy Sequence of Nori's Fundamental Group
The Homotopy Sequence of Nori's Fundamental Group Algebraic Geometry
2012/6/18
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...
Fundamental group of uniquely ergodic Cantor minimal systems
Fundamental group Orbit equivalence Brown’s Lemma Dynamical Systems
2011/9/5
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...
On polar foliations and fundamental group
fundamental groups singular Riemannian foliations polar actions
2011/1/18
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 ...
Compact Mean Convex Hypersurfaces and the Fundamental Group of Manifolds with Nonnegative Ricci Curvature
Compact Mean Convex Hypersurfaces Fundamental Group of Manifolds Nonnegative Ricci Curvature
2011/1/19
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。
Braids and symplectic four-manifolds with abelian fundamental group
four-manifolds abelian fundamental group
2010/3/1
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...
Folding on the Cartesian product of manifolds and their fundamental group
manifold folding fundamental group Cartesian product
2009/1/7
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...