Theory of Linear Connections:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1934
|
| Schriftenreihe: | Ergebnisse der Mathematik und ihrer Grenƶgebiete. 2. Folge
3 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This monograph intends to give a general survey of the different branches of the geometry of linear displacements which so far have received attention', The material on this new type of differential geometry has grown so rapidly in re cent years that it is impossible, not only to be complete, but even to do justice to the work of the different authors, so that a selection had to be made, We hope, however, that enough territory is covered to enable the reader to understand the present state of the theory in the essential points, The author wishes to thank several mathematicians who have helped hirn with remarks and suggestions; especially Dr. J. A. SCHOUTEN of Delft and Dr. N. HANSEN BALL of Princeton. Cambridge, Mass., October 1933. D. J. STRUIK. Contents. Page Introduction .... . I. Algebra ..... . 5 1. Vectors and tensors in E n 5 2. Densities . . . . 6 3. Measuring vectors . 7 4. Point algebra. . . 8 5. The general manifold X" 9 6. Non-holonomic measuring vectors . 10 7. Pseudotensors ...... . 12 11. Affine connections .... . 13 1. The principle of displacement 13 2. Affine displacement Ln 14 3. Torsion. . . . . . 17 4. WEYL connection . 18 5. Metrical connection 19 6. Curvature. . . 19 7. Integrability 20 8. Some identities 21 9. Non-holonomic systems 22 10. Transformation groups 23 IH. Connections associated with differential equations 24 1. Paths ........ . 24 2. Projective transformations 25 3. THoMAs parameters . . |
| Beschreibung: | 1 Online-Ressource (VII, 68 p) |
| ISBN: | 9783642507991 9783642504907 |
| DOI: | 10.1007/978-3-642-50799-1 |
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Datensatz im Suchindex
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| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:11Z |
| institution | BVB |
| isbn | 9783642507991 9783642504907 |
| language | English |
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| publishDate | 1934 |
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| publisher | Springer Berlin Heidelberg |
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| series2 | Ergebnisse der Mathematik und ihrer Grenƶgebiete. 2. Folge |
| spelling | Struik, D. J. Verfasser aut Theory of Linear Connections by D. J. Struik Berlin, Heidelberg Springer Berlin Heidelberg 1934 1 Online-Ressource (VII, 68 p) txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Mathematik und ihrer Grenƶgebiete. 2. Folge 3 This monograph intends to give a general survey of the different branches of the geometry of linear displacements which so far have received attention', The material on this new type of differential geometry has grown so rapidly in re cent years that it is impossible, not only to be complete, but even to do justice to the work of the different authors, so that a selection had to be made, We hope, however, that enough territory is covered to enable the reader to understand the present state of the theory in the essential points, The author wishes to thank several mathematicians who have helped hirn with remarks and suggestions; especially Dr. J. A. SCHOUTEN of Delft and Dr. N. HANSEN BALL of Princeton. Cambridge, Mass., October 1933. D. J. STRUIK. Contents. Page Introduction .... . I. Algebra ..... . 5 1. Vectors and tensors in E n 5 2. Densities . . . . 6 3. Measuring vectors . 7 4. Point algebra. . . 8 5. The general manifold X" 9 6. Non-holonomic measuring vectors . 10 7. Pseudotensors ...... . 12 11. Affine connections .... . 13 1. The principle of displacement 13 2. Affine displacement Ln 14 3. Torsion. . . . . . 17 4. WEYL connection . 18 5. Metrical connection 19 6. Curvature. . . 19 7. Integrability 20 8. Some identities 21 9. Non-holonomic systems 22 10. Transformation groups 23 IH. Connections associated with differential equations 24 1. Paths ........ . 24 2. Projective transformations 25 3. THoMAs parameters . . Mathematics Mathematics, general Mathematik https://doi.org/10.1007/978-3-642-50799-1 Verlag Volltext |
| spellingShingle | Struik, D. J. Theory of Linear Connections Mathematics Mathematics, general Mathematik |
| title | Theory of Linear Connections |
| title_auth | Theory of Linear Connections |
| title_exact_search | Theory of Linear Connections |
| title_full | Theory of Linear Connections by D. J. Struik |
| title_fullStr | Theory of Linear Connections by D. J. Struik |
| title_full_unstemmed | Theory of Linear Connections by D. J. Struik |
| title_short | Theory of Linear Connections |
| title_sort | theory of linear connections |
| topic | Mathematics Mathematics, general Mathematik |
| topic_facet | Mathematics Mathematics, general Mathematik |
| url | https://doi.org/10.1007/978-3-642-50799-1 |
| work_keys_str_mv | AT struikdj theoryoflinearconnections |