Define simple closed curve. simple closed curve synonyms, simple closed curve pronunciation, simple closed curve translation, English dictionary definition of simple closed curve. n. A curve, such as a circle, that is closed and does not intersect itself
We study the SL(2,R)-infimal lengths of simple closed curves on half-translation surfaces. Our main result is a characterization of Veech surfaces in terms of these lengths. We also revisit the "no small virtual triangles" theorem of Smillie and Weiss and establish the following dichotomy: ...
内容提示: SIMPLE CLOSED CURVES IN STABLE COVERS OF SURFACESNICK SALTERAbstract. Let f : X → Y be a regular covering of a surface Y of f i nite type with nonemptyboundary, with f i nitely-generated (possibly inf i nite) deck group G . We give necessary and suf f i cientconditions ...
Could you find two simple, nonintersecting closed curves on an inner tube so that when you cut along them you get two bands interlocked like the links of a chain? View chapterExplore book Acme Does Maps and Considers Coloring Them David A.Gay, inExplorations in Topology (Second Edition), ...
Hijazi - Hommage à Jean-Pierre Bourguignon 51:43 Samson Shatashvili - Integrability and Supersymmetry 58:34 Thibault Damour - 34 Gravitation relativiste et expérience 1:54:04 Xinyi Yuan, Hodge index theorem for adelic line bundles 1:14:52 Yiming Long, Multiple closed geodesics on spheres 41:...
Given a pair of curves C_1 and C_2 on a hyperbolic surface F, when does there exist a pseudo-Anosov map sending one to another? More generally, one may ask the same question for C_i to be sets of disjoint simple closed curves. We will give necessary and sufficient conditions for the...
It is proved that Knaster's type continua and solenoids can be considered as inverse limits of arcs and of circles with confluent bonding mappings. Several other classes of bonding mappings, which are relative to confluent ones, also are discussed. 关键词: Theoretical or Mathematical/ functional ...
Showing a limited preview of this publication: Expos ́e FourThe Space of Simple Closed Curves in a Surfaceby Valentin Po ́enaru4.1 THE WEAK TOPOLOGY ON THE SPACE OF SIMPLECLOSED CURVESLetMbe a closed orientable surface of genusg≥2. Denote byS(M) (ormore briefly,S) the space of ...
We prove a relationship between the number of different types of convex and concave vertices that every simple closed curve in the triangular grid satisfies. 2 Preliminaries We introduce some basic notions on the regular grids in 2D [15,26], on simple closed curves [4,19] and on salient ...
ComputationalGeometry SimpleClosedPath determine an order of points so they form a simple closed path Calling Sequence Parameters Description Examples Compatibility Calling Sequence SimpleClosedPath( P ) SimpleClosedPath( P , a ) Parameters P - 2-D array