| 000 | 00000nam u2200205 a 4500 | |
| 001 | 000046031618 | |
| 005 | 20200617172252 | |
| 006 | m d | |
| 007 | cr | |
| 008 | 200611s2016 fr ob 001 0 eng d | |
| 020 | ▼a 9789462391925 | |
| 040 | ▼a 211009 ▼c 211009 ▼d 211009 | |
| 050 | 4 | ▼a QA641 |
| 082 | 0 4 | ▼a 512.55 ▼2 23 |
| 084 | ▼a 512.55 ▼2 DDCK | |
| 090 | ▼a 512.55 | |
| 100 | 1 | ▼a Crampin, M. |
| 245 | 1 0 | ▼a Cartan geometries and their symmetries ▼h [electronic resource] : ▼b a lie algebroid approach / ▼c Mike Crampin, David Saunders. |
| 260 | ▼a Paris : ▼b Atlantis Press : ▼b Imprint: Atlantis Press, ▼c 2016. | |
| 300 | ▼a 1 online resource (xiv, 290 p.). | |
| 490 | 1 | ▼a Atlantis studies in variational geometry, ▼x 2214-0700 ; ▼v 4 |
| 500 | ▼a Title from e-Book title page. | |
| 504 | ▼a Includes bibliographical references and index. | |
| 505 | 0 | ▼a Lie groupoids and Lie algebroids -- Connections on Lie groupoids and Lie algebroids -- Groupoids of fibre morphisms -- Four case studies -- Symmetries -- Cartan geometries -- A comparison with alternative approaches -- Infinitesimal Cartan geometries on TM -- Projective geometry: the full version -- Conformal geometry: the full version -- Developments and geodesics -- Cartan theory of second-order differential equations. . |
| 520 | ▼a In this book we first review the ideas of Lie groupoid and Lie algebroid, and the associated concepts of connection. We next consider Lie groupoids of fibre morphisms of a fibre bundle, and the connections on such groupoids together with their symmetries. We also see how the infinitesimal approach, using Lie algebroids rather than Lie groupoids, and in particular using Lie algebroids of vector fields along the projection of the fibre bundle, may be of benefit. We then introduce Cartan geometries, together with a number of tools we shall use to study them. We take, as particular examples, the four classical types of geometry: affine, projective, Riemannian and conformal geometry. We also see how our approach can start to fit into a more general theory. Finally, we specialize to the geometries (affine and projective) associated with path spaces and geodesics, and consider their symmetries and other properties. | |
| 530 | ▼a Issued also as a book. | |
| 538 | ▼a Mode of access: World Wide Web. | |
| 650 | 0 | ▼a Lie algebroids. |
| 700 | 1 | ▼a Saunders, David. |
| 830 | 0 | ▼a Atlantis studies in variational geometry; ▼v v. 4. |
| 856 | 4 0 | ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.2991/978-94-6239-192-5 |
| 945 | ▼a KLPA | |
| 991 | ▼a E-Book(소장) |
Holdings Information
| No. | Location | Call Number | Accession No. | Availability | Due Date | Make a Reservation | Service |
|---|---|---|---|---|---|---|---|
| No. 1 | Location Main Library/e-Book Collection/ | Call Number CR 512.55 | Accession No. E14024029 | Availability Loan can not(reference room) | Due Date | Make a Reservation | Service |