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Showing 1 to 4 of 4 for “"Manifold (Mathematics)"”.
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Heegaard splittings for an infinite family of closed orientable 3-manifolds
<p>Nothing in Chapter One is new. In Chapters Two and Four, the families of examples L<sub>i,j</sub>, M<sub>i,j</sub> and M<sub>i,j,k</sub> are new, although particular cases have been described in the literature; most notably L<sub>1,2</sub> and M<sub>1,2,3</sub> have been described by Barry …
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Lyapunov Exponents and Invariant Manifold for Random Dynamical Systems in a Banach Space
… theorem to establish the stable and unstable manifold theorem for nonuniformly hyperbolic random invariant sets.</p>
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Ambient Obstruction Solitons and Homogeneous Gradient Bach Solitons
… a more general set of objects. Endowing a smooth manifold with a Riemannian metric allows us to measure length and angle in a way such that length is positive. This enables us to examine measures of curvature on a manifold. The study of manifolds with such metrics is called Riemannian geometry. …
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Theory and algorithms for swept manifold intersections
… although a very similar type of objects - swept manifolds. In particular, effective computability of swept manifold intersections is of major concern. The main goal of this dissertation is to conduct a study of swept manifolds and, based on the findings, develop methods for computing swept …