Global ETD Search
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Showing 1 to 8 of 8 for “"HYPERBOLIC MANIFOLDS"”.
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Microlocal analysis of asymptotically complex hyperbolic manifolds and their conformal contact boundaries
… presents a study of asymptotically complex hyperbolic manifolds and their natural conformal boundaries, compact CR contact manifolds, using the tools of microlocal analysis in the broad sense. In the first chapter, we study the behavior of the heat kernel of the Hodge Laplacian on a contact …
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Norms on cohomology, harmonic forms, eigenvalues and minimal surfaces in hyperbolic manifolds
… of an L2 harmonic 1-form in an orientable cusped hyperbolic 3-manifold M by its topological complexity, measured by the Thurston norm, up to a constant depending on M. It generalizes two inequalities of Brock-Dunfield. We also study the sharpness of the inequalities in the closed and cusped cases, …
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Visualizing Riemann Surfaces, Teichmuller Spaces, and Transformation Groups on Hyperbolic Manifolds Using Real Time Interactive Computer Animator (Rtica) Graphics
The production and presentation of sc RTICA are described as are the techniques for generating pic and Mathematica illustrations to be embedded into $\rm T\sb{E}X$ documents.
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Higher dimensional fractal uncertainty
… the mass of eigenfunctions on higher dimensional hyperbolic manifolds.
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The geometry of end-periodic mapping tori
… if $f$ is atoroidal, then $M_f$ admits a hyperbolic metric. Such maps admit invariant \emph{positive and negative Handel-Miller laminations}, $\Lambda^+$, $\Lambda^-$, whose leaves naturally project to the arc and curve complex of a given compact subsurface $Y\subset S$. As an end-periodic …
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New computational methods for analysing finitely-presented groups
… with implications for the construction of hyperbolic manifolds.
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Theoretical foundations for finite-time transient stability and sensitivity analysis of power systems
… power systems, based on the theory of normally hyperbolic invariant manifolds and finite time Lyapunov exponents, adopted from geometric theory of dynamical systems. The theory of normally hyperbolic surfaces allows us to characterize the rate of expansion and contraction of co-dimension one …
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ΠΟΛΛΑΠΛΟΤΗΤΕΣ ΤΟΥ RIEMANN ΥΠΕΡΒΟΛΙΚΟΥ ΤΥΠΟΥ
… 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 A COMPACT RIEMANNIAN, MANIFOLD …