串通
发表于 2025-3-27 00:48:54
The impact of reuse on software quality,poid of fibre morphisms of a bundle of projective spaces, the bundle ., and how this is related to the infinitesimal geometry on . studied in Sect. .. There is a similar relationship between infinitesimal conformal geometry on . (Sect. .) and a finite geometry, but now the fibres of the correspondin
Stable-Angina
发表于 2025-3-27 03:52:09
Giovanni Lofrumento,Sandro Pileria Cartan geometry can be rolled, along a curve in it, on a fibre of . without slipping or twisting; the fibre of . can of course be considered as representative of the standard homogeneous-space fibre .. In suitable circumstances the same notion, of development, can be employed to define a geodesic
Extemporize
发表于 2025-3-27 05:57:10
https://doi.org/10.2991/978-94-6239-192-5Cartan Geometry; Lie Groupoid; Lie Algebroid; Infinitesimal Symmetry; Differential Geometry
腐烂
发表于 2025-3-27 11:57:27
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积云
发表于 2025-3-27 13:47:48
Lecture Notes in Computer ScienceThe idea of a groupoid is a generalization of that of a group, where not every pair of elements can be combined. In this chapter we review the concepts of Lie groupoid and Lie algebroid.
anchor
发表于 2025-3-27 19:33:53
https://doi.org/10.1007/3-540-54103-9In this chapter we shall describe several different notions of connection. As well as introducing connections on Lie groupoids (path connections) and on Lie algebroids (infinitesimal connections) we shall see how these ideas are related to the classical concepts of covariant derivatives and, more generally, connections on vector bundles.
GLIDE
发表于 2025-3-27 23:14:36
Design issues for object-based concurrency,In this chapter we see how the approach of considering the Lie groupoid . of fibre morphisms may be applied to four standard cases, where the morphisms are linear maps, affine maps, projective maps and Euclidean maps; the fibres of the bundle . will, of course, need to carry an appropriate structure so that each class of map can be defined.
减震
发表于 2025-3-28 05:27:51
https://doi.org/10.1007/3-540-56252-4The title of this volume is ‘Cartan geometries and their symmetries: a Lie algebroid approach’, and as we explain in the Introduction there are several other ways to approach the study of Cartan geometry. In this chapter we compare our theory with several of these alternatives.
内疚
发表于 2025-3-28 07:20:22
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antecedence
发表于 2025-3-28 13:00:52
Lie Groupoids and Lie Algebroids,The idea of a groupoid is a generalization of that of a group, where not every pair of elements can be combined. In this chapter we review the concepts of Lie groupoid and Lie algebroid.