標(biāo)題: Titlebook: Cartan Geometries and their Symmetries; A Lie Algebroid Appr Mike Crampin,David Saunders Book 2016 Atlantis Press and the author(s) 2016 Ca [打印本頁(yè)] 作者: ED431 時(shí)間: 2025-3-21 18:39
書目名稱Cartan Geometries and their Symmetries影響因子(影響力)
書目名稱Cartan Geometries and their Symmetries影響因子(影響力)學(xué)科排名
書目名稱Cartan Geometries and their Symmetries網(wǎng)絡(luò)公開(kāi)度
書目名稱Cartan Geometries and their Symmetries網(wǎng)絡(luò)公開(kāi)度學(xué)科排名
書目名稱Cartan Geometries and their Symmetries被引頻次
書目名稱Cartan Geometries and their Symmetries被引頻次學(xué)科排名
書目名稱Cartan Geometries and their Symmetries年度引用
書目名稱Cartan Geometries and their Symmetries年度引用學(xué)科排名
書目名稱Cartan Geometries and their Symmetries讀者反饋
書目名稱Cartan Geometries and their Symmetries讀者反饋學(xué)科排名
作者: Dictation 時(shí)間: 2025-3-21 20:41 作者: 忘恩負(fù)義的人 時(shí)間: 2025-3-22 00:24 作者: 鋼筆尖 時(shí)間: 2025-3-22 05:51 作者: nephritis 時(shí)間: 2025-3-22 11:28 作者: doxazosin 時(shí)間: 2025-3-22 15:44
Groupoids of Fibre Morphisms, such a condition will form a group, this will obviously not be the case when we consider maps with different domains and codomains: we will obtain, instead, a groupoid. This is exactly analogous to the relationship between the fundamental group of a topological space with a given basepoint, and the fundamental groupoid of the space.作者: doxazosin 時(shí)間: 2025-3-22 19:43
Waldemar Adam,Lazaros Hadjiarapoglouetries which are ‘incomplete’ and which cannot be obtained as infinitesimal versions of finite Cartan geometries. We conclude the chapter with an introduction to the concept of a symmetry for a Cartan geometry.作者: 善于 時(shí)間: 2025-3-22 22:23
Cartan Geometries,etries which are ‘incomplete’ and which cannot be obtained as infinitesimal versions of finite Cartan geometries. We conclude the chapter with an introduction to the concept of a symmetry for a Cartan geometry.作者: 吵鬧 時(shí)間: 2025-3-23 02:59 作者: 廢除 時(shí)間: 2025-3-23 06:09
The impact of reuse on software quality,g bundle will be spheres rather than projective spaces. In this chapter we shall explain how the action of a suitable group gives rise to such a sphere as a homogeneous space, and how the corresponding Cartan geometry can be constructed.作者: 征稅 時(shí)間: 2025-3-23 09:57
Infinitesimal Cartan Geometries on ,,examples (affine, projective, Riemannian and conformal geometries) all have realisations of this form, as indeed we have seen already in the affine and Riemannian cases. In the first four sections of this chapter we discuss each of these specific cases in turn, while in the final section we develop the general theory of such geometries.作者: overweight 時(shí)間: 2025-3-23 14:14
Conformal Geometry: The Full Version,g bundle will be spheres rather than projective spaces. In this chapter we shall explain how the action of a suitable group gives rise to such a sphere as a homogeneous space, and how the corresponding Cartan geometry can be constructed.作者: 不要不誠(chéng)實(shí) 時(shí)間: 2025-3-23 21:08
Groupoids of Fibre Morphisms,onsider diffeomorphisms from one fibre to another that respect the group action in a suitable sense. Whereas the maps from a single fibre . satisfying such a condition will form a group, this will obviously not be the case when we consider maps with different domains and codomains: we will obtain, i作者: 團(tuán)結(jié) 時(shí)間: 2025-3-24 00:00 作者: COST 時(shí)間: 2025-3-24 03:44 作者: bonnet 時(shí)間: 2025-3-24 09:25
Infinitesimal Cartan Geometries on ,,s of ., and therefore realise . as vector fields tangent to fibres, forming a representation of . on each fibre. There is then an interesting class of examples in which . and . consists of vector fields on the fibres whose coefficients are polynomial in the canonical fibre coordinates. The standard 作者: 可以任性 時(shí)間: 2025-3-24 10:48 作者: 真實(shí)的你 時(shí)間: 2025-3-24 17:46 作者: 斗志 時(shí)間: 2025-3-24 22:38
Developments and Geodesics,a 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 作者: Pudendal-Nerve 時(shí)間: 2025-3-24 23:18
Cartan Geometries and their Symmetries978-94-6239-192-5Series ISSN 2214-0700 Series E-ISSN 2214-0719 作者: 換話題 時(shí)間: 2025-3-25 04:52 作者: Binge-Drinking 時(shí)間: 2025-3-25 07:39 作者: 不安 時(shí)間: 2025-3-25 13:11 作者: biopsy 時(shí)間: 2025-3-25 19:19
Mike Crampin,David SaundersExpounds a new approach to the theory of Cartan connections as path connections on a certain class of Lie groupoids, or as infinitesimal connections on corresponding Lie algebroids.It contains a compr作者: 種族被根除 時(shí)間: 2025-3-25 22:58
Atlantis Studies in Variational Geometryhttp://image.papertrans.cn/c/image/222186.jpg作者: 無(wú)價(jià)值 時(shí)間: 2025-3-26 00:15 作者: Cosmopolitan 時(shí)間: 2025-3-26 06:45
Lecture Notes in Computer Sciencere both finite and infinitesimal symmetries may be considered, the former being diffeomorphisms with a property such as preserving geodesics, horizontal lifts or something similar, and the latter being vector fields whose flows have the same property.作者: 有抱負(fù)者 時(shí)間: 2025-3-26 09:31
Waldemar Adam,Lazaros Hadjiarapoglou (finite) Cartan geometry as a special kind of fibre-morphism groupoid with a path connection, and use this to motivate a detailed investigation of infinitesimal Cartan geometries given in terms of Lie algebroids. In fact our main concern in subsequent chapters will be with the infinitesimal geometr作者: 橫截,橫斷 時(shí)間: 2025-3-26 15:55 作者: Negligible 時(shí)間: 2025-3-26 18:43
Hideaki Okamura,Yutaka Ishikawa,Mario Tokoron in Chap.?., but which is based on the construction (described in Chap.?.) of a bundle over M whose standard fibre is projective space of dimension dim M, together with the groupoid of projective maps between its fibres.作者: 串通 時(shí)間: 2025-3-27 00:48
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作者: Stable-Angina 時(shí)間: 2025-3-27 03:52
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 作者: Extemporize 時(shí)間: 2025-3-27 05:57
https://doi.org/10.2991/978-94-6239-192-5Cartan Geometry; Lie Groupoid; Lie Algebroid; Infinitesimal Symmetry; Differential Geometry作者: 腐爛 時(shí)間: 2025-3-27 11:57 作者: 積云 時(shí)間: 2025-3-27 13:47
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.作者: anchor 時(shí)間: 2025-3-27 19:33
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.作者: GLIDE 時(shí)間: 2025-3-27 23:14
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.作者: 減震 時(shí)間: 2025-3-28 05:27
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.作者: 內(nèi)疚 時(shí)間: 2025-3-28 07:20 作者: antecedence 時(shí)間: 2025-3-28 13:00
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.作者: hypotension 時(shí)間: 2025-3-28 16:50
Connections on Lie Groupoids and Lie Algebroids,In 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.作者: Acquired 時(shí)間: 2025-3-28 21:54 作者: 花束 時(shí)間: 2025-3-28 23:47 作者: CLAMP 時(shí)間: 2025-3-29 05:24 作者: 罵人有污點(diǎn) 時(shí)間: 2025-3-29 10:11
Symmetries,re both finite and infinitesimal symmetries may be considered, the former being diffeomorphisms with a property such as preserving geodesics, horizontal lifts or something similar, and the latter being vector fields whose flows have the same property.作者: gratify 時(shí)間: 2025-3-29 12:17 作者: 考得 時(shí)間: 2025-3-29 17:57 作者: NUDGE 時(shí)間: 2025-3-29 20:17
10樓作者: Choreography 時(shí)間: 2025-3-30 03:58
10樓作者: 專心 時(shí)間: 2025-3-30 06:06
10樓
