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Showing 1 to 20 of 581 for “"manifolds"”.
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Origami manifolds
… results of convexity and classification of toric manifolds translate to the origami world. Several examples are presented, including a complete classification of toric origami surfaces. Furthermore, I extend the results above to the case of nonorientable origami manifolds.
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Tracking on manifolds : quasi-Newton optimisation algorithms on manifolds
In recent years, optimisation on manifolds has become a popular area of research. Applications in signal processing have been proposed as well. Optimisation methods on manifolds can reduce the dimension of the original problems compared to the problems in their ambient Euclidean space. Many …
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G-Frobenius manifolds
… is to introduce the notion of G-Frobenius manifolds for any finite group G. This work is motivated by the fact that any G-Frobenius algebra yields an ordinary Frobenius algebra by taking its G-invariants. We generalize this on the level of Frobenius manifolds. To define a G-Frobenius …
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Singularly Fibered Manifolds
Made available in DSpace on 2014-12-09T22:17:20Z (GMT). No. of bitstreams: 1 6507171.pdf: 6034264 bytes, checksum: 3ff779ab58f8c39c511728e5929c74f8 (MD5) Previous issue date: 1965
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Three-dimensional manifolds
… the post-war years, the theory of 3-dimensional manifolds has developed tremendously. On the one hand, Bing and Moise have proved that 3-manifolds can be triangulated, and that the Hauptvermutung (that any two triangulations of the same space are combinatorially equivalent) is true for …
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Exotic 4-manifolds
Includes bibliographical references (leaves 143-147).
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Immersions of Positively Curved Manifolds Into Manifolds With Curvature Bounded Above
This paper investigates the following questions. If a compact manifold, M, with positive sectional curvature is isometrically immersed in some ambient space, N, what is the radius of the smallest ball in which its image lies? Additionally, when can the knowledge that the image lies inside a ball of …
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Operators on singular manifolds
We study the interplay between analysis on manifolds with singularities and complex analysis and develop new structures of operators based on the Mellin transform and tools for iterating the calculus for higher singularities. We refer to the idea of interpreting boundary value problems (BVPs) in …
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Stability of Einstein Manifolds
… which ensure the stability of Einstein manifolds with respect to the Einstein-Hilbert functional, i.e. that the second variation of the Einstein-Hilbert functional at the metric is nonpositive in the direction of transverse-traceless tensors. The second part of the work is devoted to the …
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GEODESICS IN LORENTZIAN MANIFOLDS
… present an extension of Geodesics in Lorentzian Manifolds (Semi-Riemannian Manifolds or pseudo-Riemannian Manifolds ). A geodesic on a Riemannian manifold is, locally, a length minimizing curve. On the other hand, geodesics in Lorentzian manifolds can be viewed as a distance between ``events''. …
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Cellular mappings on manifolds
… of cellular mappings for spaces which are not manifolds.</p> <p>In Chapter one we prove that the space of cellular mappings from a manifold onto itself is a topological semi-group and that the space of all cellular mappings of B<sup>n</sup> onto itself which are the identity on the boundary is …
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Collapsing Manifolds With Boundary
… Gromov-Hausdorff limits of certain sequences of manifolds-with-boundary as Alexandrov spaces of curvature bounded below.
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Stability of algebraic manifolds
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1998.
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Light field appearance manifolds
Statistical shape and texture appearance models are powerful image representations, but previously had been restricted to 2D or 3D shapes with smooth surfaces and lambertian reflectance. In this thesis we present a novel 4D appearance model using image-based rendering techniques, which can …
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Inertial manifolds in biological systems
… Dynamics, such functions are called Inertial Manifolds. They are defined as manifolds that are invariant under the flow of the dynamical system, and attract all trajectories exponentially. The first example gives rise to a generalisation of a theorem which, in the literature, is proved for the …
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Compact Homogeneous Leviflat CR-Manifolds
We consider compact Leviflat homogeneous CR-manifolds. In this setting the Levi-foliation exists and we show that all its leaves are homogeneous and biholomorphic. We analyze separately the structure of orbits in complex projective spaces and parallelizable homogeneous CR-manifolds in our context. …
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Slice sampling on Riemannian manifolds
… sampling of distributions on Riemannian manifolds. First for distributions on the Euclidean unit sphere, and then for distributions on general Riemannian manifolds we introduce a geodesic-based hybrid slice sampler, called geodesic slice sampler. Under mild regularity assumptions, we …
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Pitchfork bifurcations of invariant manifolds
… properties of fixed points and invariant manifolds of dynamical systems. A pitchfork bifurcation in R is said to have occurred when a stable fixed point becomes unstable and two new stable fixed points, separated by the unstable fixed point come into existence. In this thesis, a pitchfork …
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Geometry of SU(3) Manifolds
<p>I study differential geometry of 6-manifolds endowed with various $SU(3)$ structures from three perspectives. The first is special Lagrangian geometry; The second is pseudo-Hermitian-Yang-Mills connections or more generally, $\omega$-anti-self dual instantons; The third is pseudo-holomorphic …
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Folded Symplectic Toric Four -Manifolds
… theorem of folded symplectic toric manifolds. This work is a step in that direction: the main result is a necessary and sufficient condition for two orientable, folded symplectic toric four-manifolds to be isomorphic.
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