Ray structures on teichmüller space
WebJ. DIFFERENTIAL GEOMETRY 35(1992) 151-217 HARMONIC MAPS, LENGTH, AND ENERGY IN TEICHMULLER SPACE YAIR N. MINSKY Abstract The limiting behavior of high-energy … WebTeichmuller spaces parametrize this collection of structures. 2 Teichmuller Spaces: Two Perspectives. We’ll give two descriptions of Teichmller spaces and prove that they …
Ray structures on teichmüller space
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WebMay 17, 2024 · Idea. The Teichmüller space 𝒯 Σ \mathcal{T}_{\Sigma} of a 2-dimensional manifold Σ \Sigma is the moduli space of complex structures on Σ \Sigma, where two … WebJun 13, 2024 · The Strebel rays [3] and the eventually distance minimizing rays [9] are important in Teichmüller spaces and moduli spaces, respectively. Motivated by the study …
WebJun 3, 2024 · RAY STRUCTURES ON TEICHMÜLLER SPACE. June 2024; ... We first depict harmonic map ray structures on Teichmüller space as a geometric transition between … WebTeichmu¨ller space Tg with the Teichmu¨ller metric d(·,·). Recall that points in Teichmu¨ller space are equivalence classes of Riemann surface structures S on M, the structure S1 is equivalent to the structure S2 if there is a homeomorphism h: M → M, homotopic to the identity, which is a conformal map of the structures S1 and S2.
WebMar 6, 2024 · In mathematics, the Teichmüller space [math]\displaystyle{ T(S) }[/math] of a (real) topological (or differential) surface [math]\displaystyle{ S }[/math], is a space that … WebDec 6, 2012 · This book offers an easy and compact access to the theory of Teichmüller spaces, starting from the most elementary aspects to the most recent developments, e.g. the role this theory plays with regard to string theory. Teichmüller spaces give parametrization of all the complex structures on a given Riemann surface. This subject is …
WebApr 28, 2012 · In this paper, we study the asymptotic behavior of Teichmüller geodesic rays in the Gardiner–Masur compactification. We will observe that any Teichmüller geodesic …
WebMonatsh Math (2016) 179:165–189 DOI 10.1007/s00605-015-0813-9 On the inclusion of the quasiconformal Teichmüller space into the length-spectrum Teichmüller space D. Alessandri dylan silver actressWebTeichmuller space can be defined as the set of marked hyperbolic surfaces up to equivalence, where ( X, f) ∼ ( Y, g) if g f − 1 is homotopic to an isometry. What needs to be … dylan shot of love albumWebMentioning: 40 - IntroductionOne of the underlying principles in the study of Kleinian groups is that aspects of the complex projective geometry of quotients ofĈ by these groups … crystal shops near byWebconstruction of nondivergent rays from a point in Teichmu¨ller space. On the other hand, unlike the proof of Masur and Wolf, our proof depends upon one of the deeper … dylan sigley net worthWebRay structures on Teichmüller Space While there may be many Thurston metric geodesics between a pair of points in Teichm\"uller space, we find that by imposing an additional energy minimization constraint on the geodesics, thought of as limits of harmonic map rays, we select a unique Thurston geodesic through those points. crystal shops near champaign ilWeb6.7 Teichmüller spaces are contractible 273 6.8 The universal curve and the universal property 274 6.9 The Bers fiber space 284 6.10 Teichmüller spaces 287 6.11 Analytic … dylan simmons obituaryWeb2. Teichmull er space and moduli space 4 3. The Deligne-Mumford compacti cation of moduli space 11 4. Jacobians, Hodge structures, and the period mapping 13 5. … crystal shops near columbus ohio