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Showing 1 to 6 of 6 for “"closed geodesics"”.
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Distribution of Holonomy about Closed Geodesics on Compact Hyperbolic 3-Manifolds
… of compact hyperbolic 3-manifolds is their closed geodesics, which have both geometric and dynamical implications. These geodesics are parametrized by their length and holonomy, which describes the angle of rotation by parallel transport about the geodesic. First, we prove ambient prime …
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ΠΟΛΛΑΠΛΟΤΗΤΕΣ ΤΟΥ RIEMANN ΥΠΕΡΒΟΛΙΚΟΥ ΤΥΠΟΥ
THE AIM OF THE PRESENT THESIS IS TO EXAMINE THE CLOSED GEODESICS ON COMPACT RIEMANNIAN MANIFOLDS OF HYPERBOLIC TYPE; THAT MEANS RIEMANNIAN MANIFOLDS WHICH CAN CARRY A RIEMANNIAN METRIC WITH STRICTLY NEGATIVE SECTIONAL CURVATURE. IT ISPROVED, THAT THE INDEX OF THE M- COVER OF ONE CLOSED GEODESIC ON …
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Homology products on Z2-quotients of free loop spaces of spheres
… retain information about geometrically distinct closed geodesics.
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Certain free group functions and untangling closed curves on surfaces
… primarily addresses the problem of untangling closed geodesics in finite covers of hyperbolic surfaces. Our motivation comes from results of Scott and Patel. Scott's result tells us that one can always untangle a closed geodesic on a hyperbolic surface in a finite degree cover. Our goal is to …
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Applications of dynamical systems to Farey sequences and continued fractions
… section to extend the correspondence between the closed geodesics on the modular surface and the periodic points of G to include the periodic points of F. Then, analogous to the work of Pollicott, we find the limiting distribution of the periodic points of F when they are ordered according to the …
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Microlocal analysis of asymptotically complex hyperbolic manifolds and their conformal contact boundaries
… its trace are contained in the set of lengths of closed geodesics and obtain an asymptotic expansion for the trace at time zero. Each chapter can be treated as self-contained and read independently of the other. They were initially written separately and submitted for publication.