Results 11 to 20 of about 99,297 (282)
Higher Affine Connections [PDF]
Mediterranean Journal of Mathematics, 2015 37 pages; main definition and results generalized; substantial changes after section ...
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ON METRIZABILITY OF INVARIANT AFFINE CONNECTIONS [PDF]
International Journal of Geometric Methods in Modern Physics, 2012 The metrizability problem for a symmetric affine connection on a manifold, invariant with respect to a group of diffeomorphisms G, is considered. We say that the connection is G-metrizable, if it is expressible as the Levi-Civita connection of a G-invariant metric field. In this paper we analyze the G-metrizability equations for the rotation group G =
ERICO TANAKA, DEMETER KRUPKA
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Schrödinger connection with selfdual nonmetricity vector in 2+1 dimensions
Physics Letters B, 2021 We present a three-dimensional metric affine theory of gravity whose field equations lead to a connection introduced by Schrödinger many decades ago.
Silke Klemm, Lucrezia Ravera
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Conformal Transformations in Metric-Affine Gravity and Ghosts [PDF]
, 2012 Conformal transformations play a widespread role in gravity theories in regard to their cosmological and other implications. In the pure metric theory of gravity, conformal transformations change the frame to a new one wherein one obtains a conformal ...
Amarzguioui +37 more
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Linear transformations on affine-connections [PDF]
Classical and Quantum Gravity, 2020 8 pages, Applications section ...
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Prolongations of affine connection and horizontal vectors
Дифференциальная геометрия многообразий фигур, 2020 The linear frame bundle over a smooth manifold is considered. The mapping dе defined by the differentials of the first-order frame e is a lift to the normal N, i.
K.V. Polyakova
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Torsion Wave Solutions in Yang-Mielke Theory of Gravity
Advances in High Energy Physics, 2015 The approach of metric-affine gravity initially distinguishes it from Einstein’s general relativity. Using an independent affine connection produces a theory with 10 + 64 unknowns. We write down the Yang-Mills action for the affine connection and produce
Vedad Pasic, Elvis Barakovic
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Affine analogues of the Sasaki-Shchepetilov connection
Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2016 For two-dimensional manifold M with locally symmetric connection ∇ and with ∇-parallel volume element vol one can construct a flat connection on the vector bundle TM⊕E, where E is a trivial bundle.
Maria Robaszewska
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First Natural Connection on Riemannian Π-Manifolds
Mathematics, 2023 A natural connection with torsion is defined, and it is called the first natural connection on the Riemannian Π-manifold. Relations between the introduced connection and the Levi–Civita connection are obtained.
Hristo Manev
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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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