Differential geometry, Palatini gravity and reduction [PDF]
The present article deals with a formulation of the so called (vacuum) Palatini gravity as a general variational principle. In order to accomplish this goal, some geometrical tools related to the geometry of the bundle of connections of the frame bundle $
Baez J. +17 more
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A STUDY ON THE VARIATIONS OF INNER ORIENTATION PARAMETERS OF A HYPERSPECTRAL FRAME CAMERA [PDF]
New low-cost hyperspectral frame sensors have created a new perspective for remote sensing applications. In this work, we investigate some issues related to the geometric calibration of a hyperspectral frame camera based of FPI (Fabry-Pérot ...
A. M. G. Tommaselli +4 more
doaj +1 more source
CORRECTION OF AIRBORNE PUSHBROOM IMAGES ORIENTATION USING BUNDLE ADJUSTMENT OF FRAME IMAGES [PDF]
To compute hyperspectral orthophotos of an area, one may proceed like for standard RGB orthophotos : equip an aircraft or a drone with the appropriate camera, a GPS and an Inertial Measurement Unit (IMU).
K. Barbieux, D. Constantin, B. Merminod
doaj +1 more source
Symmetry and localization in periodic crystals: triviality of Bloch bundles with a fermionic time-reversal symmetry [PDF]
We describe some applications of group- and bundle-theoretic methods in solid state physics, showing how symmetries lead to a proof of the localization of electrons in gapped crystalline solids, as e.g. insulators and semiconductors.
Monaco, Domenico, Panati, Gianluca
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A first-order purely frame-formulation of General Relativity [PDF]
In the gauge natural bundle framework a new space is introduced and a first-order purely frame-formulation of General Relativity is obtained.Comment: 9 Pages, Submitted to Classical and Quantum ...
Cianci R +6 more
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USING RELATIVE ORIENTATION CONSTRAINTS TO PRODUCE VIRTUAL IMAGES FROM OBLIQUE FRAMES [PDF]
Image acquisition systems based on multi-head arrangement of digital cameras are attractive alternatives enabling larger imaging area when compared to a single frame camera.
A. M. G. Tommaselli +5 more
doaj +1 more source
Geometry and General Relativity in the Groupoid Model with a Finite Structure Group [PDF]
In a series of papers we proposed a model unifying general relativity and quantum mechanics. The idea was to deduce both general relativity and quantum mechanics from a noncommutative algebra ${\cal A}_{\Gamma}$ defined on a transformation groupoid ...
Heller, M. +3 more
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On the scalar components of the canonical form on higher order frame bundles
A detailed obtaining of the expressions for the scalar components of the canonical form on higher order frame bundles over a smooth manifold has been done.
A. V. Kuleshov
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An Einstein-Hilbert Action for Axi-Dilaton Gravity in 4-Dimensions [PDF]
We examine the axi-dilatonic sector of low energy string theory and demonstrate how the gravitational interactions involving the axion and dilaton fields may be derived from a geometrical action principle involving the curvature scalar associated with a ...
Anderson J L +16 more
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Geodesic Reduction via Frame Bundle Geometry
A manifold with an arbitrary affine connection is considered and the geodesic spray associated with the connection is studied in the presence of a Lie group action.
Ajit Bhand
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