Last edited by Moogulmaran

Sunday, May 17, 2020 | History

2 edition of **Flat Lorentz 3-manifolds** found in the catalog.

Flat Lorentz 3-manifolds

Louis Auslander

- 11 Want to read
- 21 Currently reading

Published
**1959**
by American Mathematical Society in Providence
.

Written in English

- Set theory.,
- Topology.

**Edition Notes**

Other titles | Lorentz 3-manifolds. |

Statement | by L. Auslander and L. Markus. |

Series | Memoirs of the American Mathematical Society, no. 30, Memoirs of the American Mathematical Society -- no. 30. |

Contributions | Marcus, Lawrence, 1922- |

The Physical Object | |
---|---|

Pagination | 60 p. |

Number of Pages | 60 |

ID Numbers | |

Open Library | OL17860572M |

Flat Lorentz 3-manifolds / by L. Auslander and L. Markus Auslander, Louis [ Book: ] View online (access conditions) At Barr Smith Library. This resource is very relevant to your query (score: 20,) More No user comments for. Memoirs of the American Mathematical Society. The Memoirs of the AMS series is devoted to the publication of research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers or groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the AMS.

American Mathematical Society Charles Street Providence, Rhode Island or AMS, American Mathematical Society, the tri-colored AMS logo, and Advancing research, Creating connections, are trademarks and services marks of the American Mathematical Society and registered in the U.S. Patent and Trademark. jectures 1’ and 2’ hold for all flat 3-manifolds. These results follow from two technical lemmas presented in Section 3. The lemmas show that every compact, flat 3-manifold satisfying certain conditions appears as a cusp of some complete, finite-volume, hyper- bolic 4-manifold.

In this paper, we will describe a topological model for elementary particles based on 3-manifolds. Here, we will use Thurston’s geometrization theorem to get a simple picture: fermions as hyperbolic knot complements (a complement C (K) = S 3 \\ (K × D 2) of a knot K carrying a hyperbolic geometry) and bosons as torus bundles. In particular, hyperbolic 3-manifolds have a close Cited by: 2. Title: Flats in 3-manifolds Author: Michael Kapovich Subject © Annales de la faculté des sciences de Toulouse Mathématiques Keywords.

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Additional Physical Format: Online version: Auslander, Louis. Flat Lorentz 3-manifolds. Providence, R.I.: American Mathematical Society, (OCoLC) Genre/Form: Electronic books: Additional Physical Format: Print version: Auslander, Louis. Flat Lorentz 3-manifolds. Providence, R.I.: American Mathematical Society.

Flat Lorentz 3-Manifolds (Memoirs of the American Mathematical Society Number 30) [L. Auslander and L. Markus] on *FREE* shipping on qualifying offers. We classify complete flat Lorentzian 3-manifolds carrying entire maximal surfaces of finite type, and deal with the topology, Weierstrass representation and asymptotic behavior of this kind of.

Margulis: Flat Lorentz 3-manifolds and cocompact Fuchsian groups. Article (PDF Available) February FLA T LORENTZ 3-MANIFOLDS 3. Cho ose an eig env ector x.

For many years, John Hempel's book has been a standard text on the topology of 3-manifolds. Even though the field has grown tremendously during that time, the book remains one of the best and most popular introductions to the subject.

The theme of this book is the role of the fundamental group in determining the topology of a given 3-manifold.5/5(2).

Louis Auslander (J – Febru ) was a Jewish American mathematician. He had wide-ranging interests both in pure and applied mathematics and worked on Finsler geometry, geometry of solvmanifolds and nilmanifolds, locally affine spaces, many aspects of harmonic analysis, representation theory of solvable Lie groups, and multidimensional Fourier transforms and the design Doctoral advisor: Shiing-Shen Chern.

TITLE={Flat Lorentz $3$-manifolds and laminations on hyperbolic surfaces, in preparation}, [HasselblattKatok] B. Hasselblatt and A. Katok, Introduction to the Modern Theory of Dynamical Systems, Cambridge: Cambridge Univ. Press,vol. Cited by: A maximal surface $${\\mathcal{S}}$$ with isolated singularities in a complete flat Lorentzian 3-manifold $$\\mathcal{N}$$ is said to be entire if it lifts to a (periodic) entire multigraph $${\\sim\\mathcal{S}}$$ in $${\\mathbb{L}^3}$$.

In addition, $${\\mathcal{S}}$$ is called of finite type if it has finite topology, finitely many singular points and $${\\sim\\mathcal{S}}$$ is a finitely Cited by: 8.

For 3-manifolds, Tucker, Scott, and Meyers made progress. A nontame 3-manifold essentially can be “simply” thought of as a union of an increasing sequence of compression bodies Mi so that each Mi!Mi+1 is an imbedding by homotopy equivalence not isotopic to a homeomorphism.

(Ohshika’s observation.). Flat Lorentz 3-manifolds and cocompact Fuchsian groups ; Varieties of discontinuous groups ; Affine cohomology classes for filiform Lie algebras ; Hyperbolic automorphisms for groups in 7(4, 2) ; Variétés projectives à. An Exhaustive Rosenzweig Bibliography Primary and Secondary Writings (Instrumenta Theologica) by L Anckaert, B Casper.

Peeters Publishers, December Trade. Good. Good+ Softcover. Moderate soiling and shelfwear to covers, including bent corners. Textblock mildly soiled. Some pages have a bent corner. Pages clean and tight in binding. Complete Lorentzian 3-manifolds To RaviKulkarni, for his seventieth birthday.

Abstract. Based on four lectures the authors gave in Almora on ﬂat Lorentzian manifolds, these notes are an introduction to Lorentzian three- Saythatvectorsu,v∈V areLorentz-orthogonal ifu.

COMPLETE LORENTZIAN 3-MANIFOLDS 3 structures on surfaces. Here the presence of the hyperbolic plane in Minkowski space will play a key role. Finally, Section 5 launches us into the Einstein Universe, which can be seen as the conformal com-pacti cation of Minkowski space.

We will revisit actions of free groups, using objects called crooked surfaces. Introduction to 3-Manifolds Share this page Jennifer Schultens. This book grew out of a graduate course on 3-manifolds and is intended for a mathematically experienced audience that is new to low-dimensional topology.

The exposition begins with the definition of a manifold, explores possible additional structures on manifolds, discusses the. — and Goldman, W. Complete flat Lorentz 3-manifolds with free fundamental group, International J. Math. 1 (), – MathSciNet zbMATH CrossRef Google Scholar Cited by: 7.

THE GEOMETRIES OF 3-MANIFOLDS modelled on any of these. For example2 x S, S1 has universal coverin2 xg U, S which is not homeomorphic t3 oor S U3.

(Note that E3 and H3 are each homeomorphic to R3.)However2 x, U S an Sd 2xSi each possesses a very natural metric which is simply the product of the standard Size: 8MB.

Notes on Basic 3-Manifold Topology. Sometime in the 's I started writing a book on 3-manifolds, but got sidetracked on the algebraic topology books described elsewhere on this website.

The little that exists of the 3-manifolds book (see below for a table of contents) is rather crude and unpolished, and doesn't cover a lot of material, but.

The conjecture. A 3-manifold is called closed if it is compact and has no boundary. Every closed 3-manifold has a prime decomposition: this means it is the connected sum of prime 3-manifolds (this decomposition is essentially unique except for a small problem in the case of non-orientable manifolds).This reduces much of the study of 3-manifolds to the case of prime 3-manifolds: those that Conjectured by: William Thurston.

Isospectrality of Flat Lorentz 3-Manifolds Drumm, Todd A. and Goldman, William M., Journal of Differential Geometry, ; Division algebras and noncommensurable isospectral manifolds Lubotzky, Alexander, Samuels, Beth, and Vishne, Uzi, Duke Mathematical Journal, ; On the dimension datum of a subgroup and its application to isospectral manifolds An, Jinpeng, Yu, Jiu-Kang, and Yu, Jun Cited by:.

2 Surfaces in Lorentz space-forms This was the subject of Schlenker’s talk, as well as Pratoussevitch’s talk. While Schlenker discussed the extension of Aleksandrov’s theorem to Minkowski space, Pratoussevitch described a surprising construction of fundamental polyhedra for AS3 1-structures on Seifert 3-manifolds.AN INTRODUCTION TO 3-MANIFOLDS 5 In the study of surfaces it is helpful to take a geometric point of view.

In particular, note that if a closed surface Σ admits a Riemannian metric of area A and constant curvature K, then it follows from the Gauss–Bonnet theorem, that.Tu's book is definitely a great book to read for someone who doesn't know the first thing about manifolds.

I have sampled many books on manifold theory and Tu's seems the friendliest. The most illuminating aspect of it, for me at least, is the fact that it presents the basics of differential and integral calculus on $\mathbb{R}^n$ in a.