Results 11 to 20 of about 2,365 (306)

$Y$ -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
doaj   +1 more source

Projective Connections and Projective Transformations [PDF]

Nagoya Mathematical Journal, 1957
The main purpose of the present paper is to establish a theorem concerning the relation between the group of all projective transformations on an affinely connected manifold and the group of all affine transformations.
openaire   +2 more sources

Connections on trivial vector bundles over projective schemes [PDF]

, 2023
Over a smooth and proper complex scheme, the differential Galois group of an integrable connection may be obtained as the closure of the transcendental monodromy representation.
Joao Pedro dos Santos, Santos, João Pedro dos, Hai, Phùng Hô, Indranil Biswas, Biswas, Indranil, Phùng Hô Hai   +5 more
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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
doaj   +1 more source

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, Alejandro Jiménez-Cano, José Alberto Orejuela   +2 more
doaj   +1 more source

The composite equipment for manifold of hypercentered planes, whose dimension coincides with dimension of generating plane

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
doaj   +1 more source

Projective toric designs, quantum state designs, and mutually unbiased bases [PDF]

Quantum
Toric $t$-designs, or equivalently $t$-designs on the diagonal subgroup of the unitary group, are sets of points on the torus over which sums reproduce integrals of degree $t$ monomials over the full torus.
Joseph T. Iosue, T. C. Mooney, Adam Ehrenberg, Alexey V. Gorshkov   +3 more
doaj   +1 more source

Centered planes in the projective connection space

Дифференциальная геометрия многообразий фигур, 2020
The space of centered planes is considered in the Cartan projec­ti­ve connection space . The space is important because it has con­nec­tion with the Grassmann manifold, which plays an important role in geometry and topology, since it is the basic space ...
O.O. Belova
doaj   +1 more source

Holomorphic projective connections on surfaces [PDF]

, 2023
We study complex analytic (possibly singular) projective connections on the plane. We characterize some of them in terms of their families of integral curves.
Wone, Oumar
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ON FANO MANIFOLDS WITH NORMAL PROJECTIVE CONNECTIONS [PDF]

, 2023
In this paper, we show that a Fano manifold with a normal projective connection is necessarily a projective space. This answers a question raised by Kobayashi and Ochiai.
YE, YUN-GANG
core   +1 more source