Geometry of Foliations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Basel
Birkhäuser Basel
1997
|
| Series: | Monographs in Mathematics
90 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | The topics in this survey volume concern research done on the differential geom etry of foliations over the last few years. After a discussion of the basic concepts in the theory of foliations in the first four chapters, the subject is narrowed down to Riemannian foliations on closed manifolds beginning with Chapter 5. Following the discussion of the special case of flows in Chapter 6, Chapters 7 and 8 are de voted to Hodge theory for the transversal Laplacian and applications of the heat equation method to Riemannian foliations. Chapter 9 on Lie foliations is a prepa ration for the statement of Molino's Structure Theorem for Riemannian foliations in Chapter 10. Some aspects of the spectral theory for Riemannian foliations are discussed in Chapter 11. Connes' point of view of foliations as examples of non commutative spaces is briefly described in Chapter 12. Chapter 13 applies ideas of Riemannian foliation theory to an infinite-dimensional context. Aside from the list of references on Riemannian foliations (items on this list are referred to in the text by [ ]), we have included several appendices as follows. Appendix A is a list of books and surveys on particular aspects of foliations. Appendix B is a list of proceedings of conferences and symposia devoted partially or entirely to foliations. Appendix C is a bibliography on foliations, which attempts to be a reasonably complete list of papers and preprints on the subject of foliations up to 1995, and contains approximately 2500 titles |
| Physical Description: | 1 Online-Ressource (VIII, 310 p) |
| ISBN: | 9783034889148 9783034898256 |
| DOI: | 10.1007/978-3-0348-8914-8 |
Staff View
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| spelling | Tondeur, Philippe Verfasser aut Geometry of Foliations by Philippe Tondeur Basel Birkhäuser Basel 1997 1 Online-Ressource (VIII, 310 p) txt rdacontent c rdamedia cr rdacarrier Monographs in Mathematics 90 The topics in this survey volume concern research done on the differential geom etry of foliations over the last few years. After a discussion of the basic concepts in the theory of foliations in the first four chapters, the subject is narrowed down to Riemannian foliations on closed manifolds beginning with Chapter 5. Following the discussion of the special case of flows in Chapter 6, Chapters 7 and 8 are de voted to Hodge theory for the transversal Laplacian and applications of the heat equation method to Riemannian foliations. Chapter 9 on Lie foliations is a prepa ration for the statement of Molino's Structure Theorem for Riemannian foliations in Chapter 10. Some aspects of the spectral theory for Riemannian foliations are discussed in Chapter 11. Connes' point of view of foliations as examples of non commutative spaces is briefly described in Chapter 12. Chapter 13 applies ideas of Riemannian foliation theory to an infinite-dimensional context. Aside from the list of references on Riemannian foliations (items on this list are referred to in the text by [ ]), we have included several appendices as follows. Appendix A is a list of books and surveys on particular aspects of foliations. Appendix B is a list of proceedings of conferences and symposia devoted partially or entirely to foliations. Appendix C is a bibliography on foliations, which attempts to be a reasonably complete list of papers and preprints on the subject of foliations up to 1995, and contains approximately 2500 titles Mathematics Mathematics, general Mathematik Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Bibliografie (DE-588)4006432-3 gnd rswk-swf Blätterung (DE-588)4007006-2 gnd rswk-swf Blätterung (DE-588)4007006-2 s Bibliografie (DE-588)4006432-3 s 1\p DE-604 Differentialgeometrie (DE-588)4012248-7 s 2\p DE-604 https://doi.org/10.1007/978-3-0348-8914-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tondeur, Philippe Geometry of Foliations Mathematics Mathematics, general Mathematik Differentialgeometrie (DE-588)4012248-7 gnd Bibliografie (DE-588)4006432-3 gnd Blätterung (DE-588)4007006-2 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4006432-3 (DE-588)4007006-2 |
| title | Geometry of Foliations |
| title_auth | Geometry of Foliations |
| title_exact_search | Geometry of Foliations |
| title_full | Geometry of Foliations by Philippe Tondeur |
| title_fullStr | Geometry of Foliations by Philippe Tondeur |
| title_full_unstemmed | Geometry of Foliations by Philippe Tondeur |
| title_short | Geometry of Foliations |
| title_sort | geometry of foliations |
| topic | Mathematics Mathematics, general Mathematik Differentialgeometrie (DE-588)4012248-7 gnd Bibliografie (DE-588)4006432-3 gnd Blätterung (DE-588)4007006-2 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Differentialgeometrie Bibliografie Blätterung |
| url | https://doi.org/10.1007/978-3-0348-8914-8 |
| work_keys_str_mv | AT tondeurphilippe geometryoffoliations |