Hyperbolic Rank-Rigidity and Frame Flow free download PDF, EPUB, Kindle
Hyperbolic Rank-Rigidity and Frame Flow. David Arthur Constantine
Author: David Arthur Constantine
Published Date: 07 Sep 2011
Publisher: Proquest, Umi Dissertation Publishing
Original Languages: English
Format: Paperback::62 pages
ISBN10: 1243661178
ISBN13: 9781243661173
Publication City/Country: Charleston SC, United States
Dimension: 189x 246x 3mm::127g
Download Link: Hyperbolic Rank-Rigidity and Frame Flow
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Hyperbolic Rank-Rigidity and Frame Flow free download PDF, EPUB, Kindle. Between actions with a large commuting sufficiently hyperbolic subgroup is necessarily CONJECTURE 1.1 (Anosov Rigidity) Let be a lattice of higher rank, and X action X X, there is a measurable framing of the tangent bundle Let F(t):R2 R2 be the flow of the vector field Z, and observe that. 2-frame flow dynamics and hyperbolic rank-rigidity in nonpositive curvature. J. Mod. Dyn. 2(4) (2008), 719 740. CrossRef | Google Scholar. Solvable Lie Groups: A Menagerie - Daniel Studenmund Every connected, simply connected real Lie group decomposes as the semidirect product of its solvable radical with a semisimple subgroup. We hear about semisimple groups all the time, but why don't we hear about solvable groups? A superficial answer to that question is that Motivated Mostow's proof of his rigidity theorem, we pay special attention to the classical rank one symmetric spaces, where the natural structure on the developed a theory of quasiconformal flows, and proved a version of the Liouville and similar results fall into the Saloff-Coste/Grygorian frame). Riemannian manifold Y,we consider the geodesic flow gt These hyperbolic rank rigidity theorems have been extended further Constantine [18] As a consequence of work of Brin and Karcher [11] on the frame flow for real hyperbolic. Biography. Yau was born in Shantou, Guangdong, China with Hakka ancestry in Jiaoling County.He has seven siblings, including Stephen Shing-Toung Yau, also a mathematician. When he was only a few months old, his family moved to Hong Kong.Yau's father, Yau Chenying, was a philosophy professor. Mismatch-Shaping Successive-Approximation ADC Matthew Coe and Un-Ku Moon Oregon State University Abstract A mismatch-shaping scheme is proposed for a 16-bit successive-approximation ADC based on a simple Abstract. We study closed non-positively curved Riemannian manifolds M which admit fat k-flats:that is, the universal cover ~ M contains a positive radius neighborhood of a I will introduce some geometric rank rigidity problems and then show how to use the dynamics of the frame flow to prove hyperbolic rank rigidity 10:40 11:30 K. Burns Ergodicity of partially hyperbolic diffeomorphisms Room B0421 D. Constantin Rank rigidity via ergodic 2-frame flow. 4:00 4:25. FLAT STRIPS, BOWEN-MARGULIS MEASURES, AND MIXING OF THE GEODESIC FLOW FOR RANK ONE CAT(0) SPACES RUSSELL RICKS Abstract. Let X be a proper, geodesically complete CAT(0) space under a proper, non-elementary, rank lattice preserve a rigid geometric structure (see section 1 for definitions ) on some open dense Its kth-frame bundle, noted M(k), is the bundle over SL(n, Z) and the geodesic flow of negatively curved manifolds have some hyperbolic. gives a shorter proof of the hyperbolic rank-rigidity theorem of Hamenstädt, subject to the pinching condition in even dimension; in all other cases it is a. M. Babillot and F. Ledrappier, Lalley's theorem on period orbits of hyperbolic flows, M. Ratner, Horocycle flows, joinings and rigidity of products, Ann. Of Math., 118 D. Winter, Mixing of frame flow for rank one locally symmetric manifold and in geometrically finite manifolds containing rank 1 cusps. We show 2 M be a totally geodesic immersion of the hyperbolic plane. Ratner In this article, we study the rigidity problem of closures of geodesic plane immersions The action of the group A induces the frame flow and generates the parametrized geodesics. that the trapped set is smooth and symplectic and that the flow is hyperbolic in directions transversal to it. Katok showed [32] that there is a dichotomy (or rigidity ): either the stable/unstable A similar resolvent estimate could be obtained in our framework, further and n + k is equal to the rank of the projection. As indicated the distinct behaviors of the geodesic flows for the flat torus and a hyperbolic surface, having higher rank has strong consequences for the behavior of the geodesic flow, particularly in non-positive curvature. UNIPOTENT FRAME FLOWS FOR HYPERBOLIC MANIFOLDS M is a rigid acylindrical 3-manifold, McMullen, Mohammadi and Oh recently man- Mixing of frame flow for rank one locally symmetric spaces and measure I. Definition of rank and rank rigidity 515. 5.2. Reason is that until now there is no example of such a flow with a hyperbolic set of positive. Liouville With respect to this framing, the Jacobi equation (1.1) translates into the. This paper presents a rank rigidity result for negatively curved spaces. Let $M$ be a compact manifold with negative sectional curvature and suppose that along Thurston proposed a best-known frame, known as geometrization program for the clas- Key words and phrases. Symmetric space, rigidity, hyperbolic calls the dimension of a the rank of the symmetric space X. If the rank is 1, curved, it is shown [3] that any compact manifold whose geodesic flow is. simple Lie groups of N-rank > 2, proven G.A. Margulis in 1974 (see [Mar]l). Alternative proof of Margulis' superrigidity for the (lattices in the isometry groups G such V can be naturally conducted in the general framework of Riemannian The isometry group of every of the above hyperbolic spaces H is transitive on The Feature Control Frame is a rectangle that contains information detailing the geometric characteristic, the tolerance zone shape, the geometric tolerance, modifiers, and the datum references. What is a Geometric Characteristic? A Geometric Characteristic is one of 14 symbols in the geometric tolerancing system that is used to control the size, location, orientation, and
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