| 书目名称 | Geometry of Foliations | | 编辑 | Philippe Tondeur | | 视频video | | | 丛书名称 | Monographs in Mathematics | | 图书封面 |  | | 描述 | 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 f | | 出版日期 | Book 1997 | | 关键词 | Finite; Mean curvature; Riemannian geometry; curvature; differential geometry; equation; geometry | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8914-8 | | isbn_softcover | 978-3-0348-9825-6 | | isbn_ebook | 978-3-0348-8914-8Series ISSN 1017-0480 Series E-ISSN 2296-4886 | | issn_series | 1017-0480 | | copyright | Springer Basel AG 1997 |
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发表于 2025-3-21 19:53:50
