7 J an 2 00 6 The topology and geometry of contact struc - tures in dimension three

نویسنده

  • Ko Honda
چکیده

The goal of this article is to survey recent developments in the theory of contact structures in dimension three. Mathematics Subject Classification (2000). Primary 57M50; Secondary 53C15.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Product of derivations on C$^*$-algebras

Let $mathfrak{A}$ be an algebra. A linear mapping $delta:mathfrak{A}tomathfrak{A}$ is called a textit{derivation} if $delta(ab)=delta(a)b+adelta(b)$ for each $a,binmathfrak{A}$. Given two derivations $delta$ and $delta'$ on a $C^*$-algebra $mathfrak A$, we prove that there exists a derivation $Delta$ on $mathfrak A$ such that $deltadelta'=Delta^2$ if and only if either $delta'=0$ or $delta=sdel...

متن کامل

"valley Structures" in the Phase Space of a Nite 3d Ising Spin Glass with I Inter- Actions

Exact results for ground states and low-lying excitations of short-range ISING spin glass systems in three dimensions are presented. Using an exact method of non-linear discrete optimization "valley struc-tures" in the phase space can be analysed for nite systems. The existence of nontrivial breaking of ergodicity at zero temperature is shown by arranging the highly degenerated ground states in...

متن کامل

3 J an 2 00 4 Cartan ’ s magic formula and soap film struc - tures

A soap film is actually a thin solid fluid bounded by two surfaces of opposite orientation. It is natural to model the film using one polyhedron for each side. Two problems are to get the polyhedra for both sides to be in the same place without canceling each other out and to model triple junctions without introducing extra boundary components. We use chainlet geometry to create dipole cells an...

متن کامل

CONFIGURATION OPTIMIZATION OF TRUSSES USING A MULTI HEURISTIC BASED SEARCH METHOD

Different methods are available for simultaneous optimization of cross-section, topology and geometry of truss structures. Since the search space for this problem is very large, the probability of falling in local optimum is considerably high. On the other hand, different types of design variables (continuous and discrete) lead to some difficulties in the process of optimization. In this articl...

متن کامل

ISOGEOMETRIC TOPOLOGY OPTIMIZATION OF STRUCTURES USING LEVEL SET METHOD INCORPORATING SENSITIVITY ANALYSIS

This study focuses on the topology optimization of structures using a hybrid of level set method (LSM) incorporating sensitivity analysis and isogeometric analysis (IGA). First, the topology optimization problem is formulated using the LSM based on the shape gradient. The shape gradient easily handles boundary propagation with topological changes. In the LSM, the topological gradient method as ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006