Measured geodesic lamination
WebI am wondering about the following: Suppose that S is a non-compact hyperbolic surface of finite area. Suppose that λ ⊂ S is a non-trivial, geodesic, measured lamination. Forget the … WebGiven any measured geodesic lamination that is not a multicurve, we construct uncountably many "exotic rays", i.e. geodesic rays of finite total transverse measure, not asymptotic to any leaf, nor eventually disjoint from the lamination. An exotic plane in an acylindrical 3-manifold. Submitted. [preprint arxiv]
Measured geodesic lamination
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WebNov 23, 2024 · I also saw a notion "dual tree", which also shows up from time to time when I tried to search for related topics, from the book Hyperbolic manifolds and Discrete Groups … WebA measured lamination is a geodesic lamination equipped with a transverse measure of full support. We say α∈ C(X) is a measured lamination if i(α,α) = 0. This condition implies that the set of geodesics in the support of αform a geodesic lami-nation λ, and that αyields a …
WebA measured geodesic lamination is a geodesic lamination λ together with a trans-lation invariant transverse measure. Such a measure assigns a positive weight to each … WebMeasured Geodesic Laminations Jinhua Fan ∗ and Jun Hu† Abstract: Let D be the open unit disk in the complex plane C and centered at the origin, and let MLb(D) be the collection of …
WebApr 10, 2012 · A (geodesic) lamination is a closed set that can be written as a disjoint union of geodesics. i.e. where each is a (not necessary closed) geodesic, is called a leaf of . Let’s try to think of some examples: i) One simple closed geodesic ii) A set of disjoint simple closed geodesics iii) A non-closed geodesic spirals onto two closed ones WebThurston’s earthquakes provide a variation by shearing along a measured geodesic lamination. Analytic variations in the style of Kodaira-Spencer are provided by solving the Beltrami differential equation. I continue to study the Weil-Petersson (WP) geometry for the Teichmueller space. Understanding convexity and curvature are basic matters.
WebJan 1, 2012 · Given a measured geodesic lamination on a hyperbolic surface, grafting the surface along multiples of the lamination defines a path in Teichmller space, called the grafting ray. We show that every grafting ray, after reparameterization, is a Teichmller quasi-geodesic and stays in a bounded neighborhood of some Teichmller geodesic. As part of …
WebNov 5, 2011 · Definition. A lamination such that each complementary region is isometric to an ideal triangle is said to be maximal. We shall see, from Theorem I.4.2.8 ( Structure of lamination) that any lamination on a surface of finite area can be extended by adding a finite number of new leaves to obtain a maximal lamination. Type Chapter Information pubs in leyburn north yorkshireWebA measured geodesic lamination is a geodesic lamination ν equipped with a translation invariant transverse measure ξsuch that the ξ-weight of every compact arc in Swith endpoints in S−νwhich intersects νnontrivially and transversely is positive. We say that νis the support of the measured geodesic lamination. seat belt ticket california priceWebJan 1, 1997 · GEODESIC LAMINATIONS To define geodesic laminations, one starts by endowing the surface S with an auxiliary Riemannian metric m of negative curvature, for which the boundary SS is totally geodesic; such a metric exists because of our assumption that the Euler characteristic of S is negative. pubs in lingfield areaWebFounded in 2004 by two principals with a combined experience of more than 40 years in private, municipal, and governmental markets, we take pride in on our ability to conduct all … seat belt ticket california 2021http://userhome.brooklyn.cuny.edu/junhu/documents/Topologicalcharacterization7-22-2013.pdf seat belt ticket californiaWebinvariant measure. The support of a measured lamination is a geodesic lamination having the property that the entire lamination coincides with the union of its minimal components. seat belt ticket california pointWebMeasured laminations. A measured geodesic lamination Lis a compact subset of Xfoliated by simple geodesics, together with a transverse invariant measure, which assigns a … pubs in limerick city