| 書目名稱 | Recent Synthetic Differential Geometry | | 編輯 | Herbert Busemann | | 視頻video | http://file.papertrans.cn/824/823359/823359.mp4 | | 叢書名稱 | Ergebnisse der Mathematik und ihrer Grenzgebiete. 2. Folge | | 圖書封面 |  | | 描述 | A synthetic approach to intrinsic differential geometry in the large and its connections with the foundations of geometry was presented in "The Geometry of Geodesics" (1955, quoted as G). It is the purpose of the present report to bring this theory up to date. Many of the later ip.vestigations were stimulated by problems posed in G, others concern newtopics. Naturally references to G are frequent. However, large parts, in particular Chapters I and III as weIl as several individual seetions, use only the basic definitions. These are repeated here, sometimes in a slightly different form, so as to apply to more general situations. In many cases a quoted result is quite familiar in Riemannian Geometry and consulting G will not be found necessary. There are two exceptions : The theory of paralleIs is used in Sections 13, 15 and 17 without reformulating all definitions and properties (of co-rays and limit spheres). Secondly, many items from the literature in G (pp. 409-412) are used here and it seemed superfluous to include them in the present list of references (pp. 106-110). The quotations are distinguished by [ ] and ( ), so that, for example, FreudenthaI [1] and (I) are found, respec | | 出版日期 | Book 1970 | | 關鍵詞 | Differentialgeometrie; Riemannian geometry; Synthetic Differential Geometry; differential geometry; geom | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-88057-5 | | isbn_softcover | 978-3-642-88059-9 | | isbn_ebook | 978-3-642-88057-5 | | copyright | Springer-Verlag Berlin Heidelberg 1970 |
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