# Poor Data In = Poor Data Out

## Related Articles

- POINCARï¿½ AND THE EARLY HISTORY OF 3-MANIFOLDS. Stillwell, John // Bulletin (New Series) of the American Mathematical Society;Oct2012, Vol. 49 Issue 4, p555
Recent developments in the theory of 3-manifolds, centered around the Poincarï¿½ conjecture, use methods that were not envisioned by Poincarï¿½ and his contemporaries. Nevertheless, the main themes of 3-manifold topology originated in Poincarï¿½'s time. The purpose of this article is to...

- End sums of irreducible open 3-manifolds. Myers, R // Quarterly Journal of Mathematics;Mar1999, Vol. 50 Issue 197, p49
Examines the resulting theory of both connected sums of 3-manifolds and of higher dimensional end sum. Difficulty in defining end sum with two summands due to dependence on choice of half-spaces; Role of primeness and irreducibility on the connected sum of 3-manifolds theory; Ways to degenerate...

- Homogeneous Lorentzian 3-manifolds with a parallel null vector field. Batat, W.; Calvaruso, G.; De Leo, B. // Balkan Journal of Geometry & Its Applications;2009, Vol. 14 Issue 1, p11
Lorentzian three-manifolds admitting a parallel null vector field have been intensively studied, since they possess several interesting geometrical properties which do not have a Riemannian counterpart. We completely classify homogeneous structures on Lorentzian three-manifolds which admit a...

- Promoting essential laminations. Calegari, Danny // Inventiones Mathematicae;Nov2006, Vol. 166 Issue 3, p583
We show that a co-orientable taut foliation of a closed, orientable, algebraically atoroidal 3-manifold is either the weak stable foliation of an Anosov flow, or else there are a pair of very full genuine laminations transverse to the foliation.

- Convex contact structures and fibered links in 3-manifolds. Torisu, Ichiro // IMRN: International Mathematics Research Notices;2000, Vol. 2000 Issue 9, p441
We study relations between positive convex contact structures on closed oriented 3-manifolds and fibered links in the manifolds. For connecting these notions, we introduce the notion of convex Heegaard splittings for closed orientable 3-manifolds, which is almost equivalent to that of fibered...

- The Case of Complete Integrability in Three-Dimensional Dynamics of a Rigid Body Interacting with a Medium with the Inclusion of Rotary Derivatives of the Force Moment with Respect to the Angular Velocity. Shamolin, M. V. // Doklady Physics;Aug2005, Vol. 50 Issue 8, p414
Investigates the possibility of transferring the results of the dynamics of the plane-parallel motion of a homogeneous axisymmetric rigid body interacting with a uniform flow of a resisting medium through its forward circular face to the case of three dimensional motion. Effects of the rotary...

- On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links. Soo Hwan Kim; Yangkok Kim // International Journal of Mathematics & Mathematical Sciences;2010, p1
We study the algebraic and geometric structures for closed orientable 3-manifolds obtained by Dehn surgery along the family of hyperbolic links with certain surgery coefficients and moreover, the geometric presentations of the fundamental group of these manifolds. We prove that our surgery...

- An Adventure in the Nth Dimension. Hayes, Brian // American Scientist;Nov/Dec2011, Vol. 99 Issue 6, p442
The article discusses the mathematical world of two- and three-dimensional objects in relation to the geometry of higher-dimensional spaces. It explains the relationship between volume and dimension to discover whether there is a formula that measures a round object within a space with multiple...

- Curvature homogeneous Lorentzian three-manifolds. Calvaruso, Giovanni // Annals of Global Analysis & Geometry;Aug2009, Vol. 36 Issue 1, p1
We study three-dimensional curvature homogeneous Lorentzian manifolds. We prove that for all Segre types of the Ricci operator, there exist examples of nonhomogeneous curvature homogeneous Lorentzian metrics in $${\mathbb R^3}$$ .