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Showing 1 to 8 of 8 for “"CONJUGATE POINTS"”.
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ΠΟΛΛΑΠΛΟΤΗΤΕΣ ΤΟΥ RIEMANN ΥΠΕΡΒΟΛΙΚΟΥ ΤΥΠΟΥ
… ON A COMPACT RIEMANNIAN, MANIFOLD WITHOUT CONJUGATE POINTS IS ZERO, THAT MEANS INDEX ΛΜ CM = 0. IT IS ALSO PROVED, THAT THE SET OF CLOSED GEODESICS, ON A COMPACT RIEMANNIANMANIFOLD OF HYPERBOLIC TYPE, WITHOUT CONJUGATE POINTS STILL AT INFINITY, IS DENSE IN THE SET OF ALL CLOSED …
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Optimal control problems on lie groups with symmetry breaking cost functions
… optimality that relies on the nonexistence of conjugate points. Coordinate formulae are derived for computing conjugate points in the reduced Hamiltonian system, and we relate these conjugate points to local optimality in the original optimal control problem. These optimality conditions are …
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Second order necessary conditions in optimal control
… in the second-order theory. First, we study conjugate points in smooth optimal control. We describe a set of conditions under which the second variation along an extremal trajectory is certain to be negative: when these are satisfied, they identify a certain point in the basic interval as a …
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Topics in spectral theory of differential operators /
… invariant counting the signed number of conjugate points of paths of Lagrangian planes in H1/2 ([boundary symbol]) x H-1/2 ([boundary symbol]) and the Morse index, the number of negative eigenvalues, for the second order differential operators with domains of definition contained in H1 …
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Rigidity results for thermostats
… that are Anosov, projectively Anosov, or have no conjugate points. For instance, we investigate rigidity under smooth orbit equivalences, and we explain how Eberlein's characterization of Anosov geodesic flows translates to thermostats. Our goal is to understand which results from the geodesic …
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Manipulation and mechanics of thin elastic objects
… of all stable equilibrium configurations without conjugate points of an extensible, shearable, anisotropic, and uniform Cosserat elastic rod subject to conservative body forces is a smooth six-dimensional manifold parameterized by a single global coordinate chart. Furthermore, in the case of an …
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Developing an accurate close-range photogrammetric technique for extracting 3D information from spherical panoramic images
… guide the interactive extraction of additional conjugate points. The MRD algorithm has been extended to laser scanning technology for the first approximations of laser scan setup positions and scan orientation prior to a leastsquares based registration. The determination of approximate scanner …
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Determining the parameters of cylinders using digital photogrammetry for application to pipe measurement in industrial plants
… photogrammetry. It is not necessary to identify conjugate points in images, nor is it even necessary for overlapping images of the cylinder to be captured. Furthermore, this thesis reports on a number of tests designed to gauge the developed techniques' accuracy and suitability for use in pipe …