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Higher Order Connections [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 The purpose of this article is to present the theory of higher order connections on vector bundles from a viewpoint inspired by projective differential geometry.
Michael G. Eastwood
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Linear and projective connections over a smooth manifold
Дифференциальная геометрия многообразий фигур, 2023 The principal bundles of the first order coframes and the second order coframes, as well as factor bundle of centroprojective (coaffine) coframes are considered.
Yu. I. Shevchenko, A. V. Vyalova
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he deformation pseudotensor of connections in cocongruence K (n - m)m
Дифференциальная геометрия многообразий фигур, 2023 The Grassmann manifold is the set of all -dimensional planes of an -dimensional projective space, with dim. One of the submanifolds of the Grassmann manifold is a complex of -planes if the dimension of the complex exceeds the difference .
O. O. Belova
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Projective spacetime symmetry of spacetime crystals
Communications Physics, 2023 Wigner’s seminal work on the Poincaré group revealed one of the fundamental principles of quantum theory: symmetry groups are projectively represented. The condensed-matter counterparts of the Poincaré group could be the spacetime groups of periodically ...
Zheng Zhang, Z. Y. Chen, Y. X. Zhao
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MEASURING IN IMAGES WITH PROJECTIVE GEOMETRY [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2018 There is a fundamental relationship between projective geometry and the perspective imaging geometry of a pinhole camera. Projective scales have been used to measure within images from the beginnings of photogrammetry, mostly the cross-ratio on a ...
B. Erdnüß, B. Erdnüß
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Generalized Affine Connections Associated with the Space of Centered Planes
Mathematics, 2021 Our purpose is to study a space Π of centered m-planes in n-projective space. Generalized fiberings (with semi-gluing) are investigated. Planar and normal affine connections associated with the space Π are set in the generalized fiberings.
Olga Belova
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$Y$ -meshes and generalized pentagram maps [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 We introduce a rich family of generalizations of the pentagram map sharing the property that each generates an infinite configuration of points and lines with four points on each line.
Max Glick, Pavlo Pylyavskyy
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Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics [PDF]
Quantum, 2022 Recent works have investigated the emergence of a new kind of random matrix behaviour in unitary dynamics following a quantum quench. Starting from a time-evolved state, an ensemble of pure states supported on a small subsystem can be generated by ...
Pieter W. Claeys, Austen Lamacraft
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A non-trivial connection for the metric-affine Gauss–Bonnet theory in D = 4
Physics Letters B, 2019 We study non-trivial (i.e. non-Levi-Civita) connections in metric-affine Lovelock theories. First we study the projective invariance of general Lovelock actions and show that all connections constructed by acting with a projective transformation of the ...
Bert Janssen +2 more
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Дифференциальная геометрия многообразий фигур, 2021 In n-dimensional projective space Pn a manifold , i. e., a family of pairs of planes one of which is a hyperplane in the other, is considered. A principal bundle arises over it, . A typical fiber is the stationarity subgroup of the generator of pair of
A.V. Vyalova, Yu. I. Shevchenko
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