Two-dimensional measured laminations of positive Euler characteristic
ثبت نشده
چکیده
منابع مشابه
6 J an 1 99 8 Simple Loops on Surfaces and Their Intersection Numbers
Given a compact orientable surface Σ, let S(Σ) be the set of isotopy classes of essential simple loops on Σ. We determine a complete set of relations for a function from S(Σ) to Z to be a geometric intersection number function. As a consequence, we obtain explicit equations in R S(Σ) and P (R S(Σ)) defining Thurston's space of measured laminations and Thurston's compactification of the Teichmül...
متن کاملLinear structures on measured geodesic laminations
The space ML(F ) of measured geodesic laminations on a given compact closed hyperbolic surface F has a canonical linear structure arising in fact from different sources in 2-dimensional hyperbolic (eartquake theory) or complex projective (grafting) geometry as well in (2 + 1) Lorentzian one (globally hyperbolic spacetimes of constant curvature). We investigate this linear structure, by showing ...
متن کاملLengths of simple loops on surfaces with hyperbolic metrics
Given a compact orientable surface of negative Euler characteristic, there exists a natural pairing between the Teichmüller space of the surface and the set of homotopy classes of simple loops and arcs. The length pairing sends a hyperbolic metric and a homotopy class of a simple loop or arc to the length of geodesic in its homotopy class. We study this pairing function using the Fenchel–Nielse...
متن کاملThree-dimensional Vibration Suppression of an Euler-bernolli Beam via Boundary Control Method
In this paper, the general governing equations of three-dimensional vibrations of an Euler-Bernoulli Beam under influences of system dynamics are derived by the Hamiltonian method. Then two fundamental cases of a cantilever beam and a rotating beam are considered. The conventional methods for vibration suppression debit to expenses and make new problems such as control spillover because they ar...
متن کاملThe Euler characteristic of an even-dimensional graph
We write the Euler characteristic χ(G) of a four dimensional finite simple geometric graph G = (V,E) in terms of the Euler characteristic χ(G(ω)) of two-dimensional geometric subgraphs G(ω). The Euler curvature K(x) of a four dimensional graph satisfying the Gauss-Bonnet relation ∑ x∈V K(x) = χ(G) can so be rewritten as an average 1 − E[K(x, f)]/2 over a collection two dimensional “sectional gr...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1998