The Structure of Flows on Two-dimensional Manifolds
Author | : Nelson Groh Markley |
Publisher | : |
Total Pages | : 196 |
Release | : 1966 |
Genre | : |
ISBN | : |
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Author | : Nelson Groh Markley |
Publisher | : |
Total Pages | : 196 |
Release | : 1966 |
Genre | : |
ISBN | : |
Author | : Igor Nikolaev |
Publisher | : Springer |
Total Pages | : 305 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 354048759X |
Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincaré-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.
Author | : Igor Nikolaev |
Publisher | : |
Total Pages | : 324 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662172667 |
Author | : Hirotaka Tamanoi |
Publisher | : Springer |
Total Pages | : 396 |
Release | : 1999-06-21 |
Genre | : Mathematics |
ISBN | : 9783540660064 |
This monograph deals with two aspects of the theory of elliptic genus: its topological aspect involving elliptic functions, and its representation theoretic aspect involving vertex operator super-algebras. For the second aspect, elliptic genera are shown to have the structure of modules over certain vertex operator super-algebras. The vertex operators corresponding to parallel tensor fields on closed Riemannian Spin Kähler manifolds such as Riemannian tensors and Kähler forms are shown to give rise to Virasoro algebras and affine Lie algebras. This monograph is chiefly intended for topologists and it includes accounts on topics outside of topology such as vertex operator algebras.
Author | : Pawel Walczak |
Publisher | : World Scientific |
Total Pages | : 490 |
Release | : 2006-09-20 |
Genre | : Mathematics |
ISBN | : 9814476781 |
This volume takes a look at the current state of the theory of foliations, with surveys and research articles concerning different aspects. The focused aspects cover geometry of foliated Riemannian manifolds, Riemannian foliations and dynamical properties of foliations and some aspects of classical dynamics related to the field. Among the articles readers may find a study of foliations which admit a transverse contractive flow, an extensive survey on non-commutative geometry of Riemannian foliations, an article on contact structures converging to foliations, as well as a few articles on conformal geometry of foliations. This volume also contains a list of open problems in foliation theory which were collected from the participants of the Foliations 2005 conference.
Author | : Bennett Chow |
Publisher | : American Mathematical Soc. |
Total Pages | : 342 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 0821835157 |
The Ricci flow is a powerful technique that integrates geometry, topology, and analysis. Intuitively, the idea is to set up a PDE that evolves a metric according to its Ricci curvature. The resulting equation has much in common with the heat equation, which tends to 'flow' a given function to ever nicer functions. By analogy, the Ricci flow evolves an initial metric into improved metrics. Richard Hamilton began the systematic use of the Ricci flow in the early 1980s and applied it in particular to study 3-manifolds. Grisha Perelman has made recent breakthroughs aimed at completing Hamilton's program. The Ricci flow method is now central to our understanding of the geometry and topology of manifolds.This book is an introduction to that program and to its connection to Thurston's geometrization conjecture. The authors also provide a 'Guide for the hurried reader', to help readers wishing to develop, as efficiently as possible, a nontechnical appreciation of the Ricci flow program for 3-manifolds, i.e., the so-called 'fast track'. The book is suitable for geometers and others who are interested in the use of geometric analysis to study the structure of manifolds. "The Ricci Flow" was nominated for the 2005 Robert W. Hamilton Book Award, which is the highest honor of literary achievement given to published authors at the University of Texas at Austin.
Author | : |
Publisher | : |
Total Pages | : 276 |
Release | : 2001 |
Genre | : |
ISBN | : |
Author | : Mauricio Matos Peixoto |
Publisher | : Springer Science & Business Media |
Total Pages | : 812 |
Release | : 2011-03-29 |
Genre | : Mathematics |
ISBN | : 3642114563 |
Dynamics, Games and Science I and II are a selection of surveys and research articles written by leading researchers in mathematics. The majority of the contributions are on dynamical systems and game theory, focusing either on fundamental and theoretical developments or on applications to modeling in biology, ecomonics, engineering, finances and psychology. The papers are based on talks given at the International Conference DYNA 2008, held in honor of Mauricio Peixoto and David Rand at the University of Braga, Portugal, on September 8-12, 2008. The aim of these volumes is to present cutting-edge research in these areas to encourage graduate students and researchers in mathematics and other fields to develop them further.
Author | : Janina Kotus |
Publisher | : American Mathematical Soc. |
Total Pages | : 117 |
Release | : 1982 |
Genre | : Mathematics |
ISBN | : 0821822616 |
This monograph considers structural stability on open 2-manifolds in the [italic]C[superscript italic]r-Whitney topology. The statements of the theorems in this monograph are analogous to the statements of Peixoto's theorem for compact 2-manifolds. However, to obtain the proofs of these results for the noncompact case the authors provide a large measure of original mathematics.
Author | : Igor Nikolaev |
Publisher | : Springer Science & Business Media |
Total Pages | : 458 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 3662045249 |
This book presents a comprehensive, encyclopedic approach to the subject of foliations, one of the major concepts of modern geometry and topology. It addresses graduate students and researchers and serves as a reference book for experts in the field.