Results 1 to 10 of about 45,254 (173)
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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Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties [PDF]
, 1981 These are expository notes from the 2008 Srni Winter School. They have two purposes: (1) to give a quick introduction to exterior differential systems (EDS), which is a collection of techniques for determining local existence to systems of partial ...
Archivum Mathematicum +2 more
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Balanced Metric and Berezin Quantization on the Siegel-Jacobi Ball [PDF]
, 2016 We determine the matrix of the balanced metric of the Siegel-Jacobi ball and its inverse. We calculate the scalar curvature, the Ricci form and the Laplace-Beltrami operator of this manifold.
Berceanu, Stefan
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Holomorphic Parabolic Geometries and Calabi-Yau Manifolds [PDF]
, 2011 We prove that the only complex parabolic geometries on Calabi-Yau manifolds are the homogeneous geometries on complex tori.
McKay, Benjamin
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Invariant Forms and Automorphisms of Locally Homogeneous Multisymplectic Manifolds
, 2012 It is shown that the geometry of locally homogeneous multisymplectic manifolds (that is, smooth manifolds equipped with a closed nondegenerate form of degree > 1, which is locally homogeneous of degree k with respect to a local Euler field) is ...
A. Banyaga +41 more
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On post-Lie algebras, Lie--Butcher series and moving frames
, 2013 Pre-Lie (or Vinberg) algebras arise from flat and torsion-free connections on differential manifolds. They have been studied extensively in recent years, both from algebraic operadic points of view and through numerous applications in numerical analysis,
A. Connes +43 more
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Privileged Coordinates and Nilpotent Approximation of Carnot Manifolds, I. General Results
, 2018 In this paper we attempt to give a systematic account on privileged coordinates and the nilpotent approximation of Carnot manifolds. By a Carnot manifold it is meant a manifold with a distinguished filtration of subbundles of the tangent bundle which is ...
Choi, Woocheol, Ponge, Raphael
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