| 書目名稱 | The Differential Geometry of Finsler Spaces | | 編輯 | Hanno Rund | | 視頻video | http://file.papertrans.cn/908/907578/907578.mp4 | | 叢書名稱 | Grundlehren der mathematischen Wissenschaften | | 圖書封面 |  | | 描述 | The present monograph is motivated by two distinct aims. Firstly, an endeavour has been made to furnish a reasonably comprehensive account of the theory of Finsler spaces based on the methods of classical differential geometry. Secondly, it is hoped that this monograph may serve also as an introduction to a branch of differential geometry which is closely related to various topics in theoretical physics, notably analytical dynamics and geometrical optics. With this second object in mind, an attempt has been made to describe the basic aspects of the theory in some detail - even at the expense of conciseness - while in the more specialised sections of the later chapters, which might be of interest chiefly to the specialist, a more succinct style has been adopted. The fact that there exist several fundamentally different points of view with regard to Finsler geometry has rendered the task of writing a coherent account a rather difficult one. This remark is relevant not only to the development of the subject on the basis of the tensor calculus, but is applicable in an even wider sense. The extensive work of H. BUSEMANN has opened up new avenues of approach to Finsler geometry which are | | 出版日期 | Book 1959 | | 關(guān)鍵詞 | Finsler geometry; Tensor; calculus; differential geometry; geometry; tensor analysis | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-51610-8 | | isbn_softcover | 978-3-642-51612-2 | | isbn_ebook | 978-3-642-51610-8Series ISSN 0072-7830 Series E-ISSN 2196-9701 | | issn_series | 0072-7830 | | copyright | Springer-Verlag Berlin Heidelberg 1959 |
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