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A Boundary-Local Mass Cocycle and the Mass of Asymptotically Hyperbolic Manifolds. [PDF]
Commun Math PhysČap A, Gover AR.
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Exploring Limit Cycles of Differential Equations through Information Geometry Unveils the Solution to Hilbert's 16th Problem. [PDF]
Entropy (Basel)da Silva VB, Vieira JP, Leonel ED.
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Projections of SDEs onto submanifolds. [PDF]
Inf GeomArmstrong J, Brigo D, Ferrucci E.
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Some of the next articles are maybe not open access.
Mathematical Notes, 1992
Let \(N\) be a manifold together with a transitive action of the Lie group \(G\) and \(M\) be any smooth manifold with \(\dim M= \dim N\). The author calls a free \((N,G)\)-coframe of order \(k\) at a point \(x\in M\) the \(k\)-jet of a local diffeomorphism \(\varphi: M\to N\) at this point and denotes by \(R^ k (M)\) the space of all free \(k ...
Valentin Lychagin
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Let \(N\) be a manifold together with a transitive action of the Lie group \(G\) and \(M\) be any smooth manifold with \(\dim M= \dim N\). The author calls a free \((N,G)\)-coframe of order \(k\) at a point \(x\in M\) the \(k\)-jet of a local diffeomorphism \(\varphi: M\to N\) at this point and denotes by \(R^ k (M)\) the space of all free \(k ...
Valentin Lychagin
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Contact Geometry of Curves [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2009 Cartan's method of moving frames is briefly recalled in the context of immersed curves in the homogeneous space of a Lie group $G$. The contact geometry of curves in low dimensional equi-affine geometry is then made explicit.
Peter J. Vassiliou
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Non-reductive spaces with equiaffine connections of nonzero curvature [PDF]
Известия Саратовского университета. Новая серия: Математика. Механика. Информатика, 2021 The introduction of this article states the object of our investigation which is structures on homogeneous spaces. The problem of establishing links between the curvature and the structure of a manifold is one of the important problems of geometry.
Mozhey, Natal’ya Pavlovna
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Lie algebras of differentiations of linear algebras over a field
Дифференциальная геометрия многообразий фигур, 2021 In this paper, we study a system of linear equations that define the Lie algebra of differentiations DerA of an arbitrary finite-dimensional linear algebra over a field.
A. Ya. Sultanov +2 more
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Yang-Mills Flow and Uniformization Theorems [PDF]
, 1997 We consider a parabolic-like systems of differential equations involving geometrical quantities to examine uniformization theorems for two- and three-dimensional closed orientable manifolds.
Chow B. +3 more
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Extension Phenomena for Holomorphic Geometric Structures [PDF]
, 2009 The most commonly encountered types of complex analytic G-structures and Cartan geometries cannot have singularities of complex codimension 2 or more.Comment: published ...
McKay, Benjamin
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