| 書目名稱 | The Theory of Finslerian Laplacians and Applications | | 編輯 | Peter L. Antonelli,Bradley C. Lackey | | 視頻video | http://file.papertrans.cn/922/921128/921128.mp4 | | 叢書名稱 | Mathematics and Its Applications | | 圖書封面 |  | | 描述 | Finslerian Laplacians have arisen from the demands of modellingthe modern world. However, the roots of the Laplacian concept can betraced back to the sixteenth century. Its phylogeny and history arepresented in the Prologue of this volume. .The text proper begins with a brief introduction to stochasticallyderived Finslerian Laplacians, facilitated by applications in ecology,epidemiology and evolutionary biology. The mathematical ideas are thenfully presented in section II, with generalizations to Lagrangegeometry following in section III. With section IV, the focus abruptlyshifts to the local mean-value approach to Finslerian Laplacians and aHodge-de Rham theory is developed for the representation onreal cohomology classes by harmonic forms on the base manifold.Similar results are proved in sections II and IV, each from differentperspectives. .Modern topics treated include nonlinear Laplacians, Bochner andLichnerowicz vanishing theorems, Weitzenb?ck formulas, andFinslerian spinors and Dirac operators. The tools developed in thisbook will find uses in several areas of physics and engineering, butespecially in the mechanics of inhomogeneous media, e.g. Cofferatcontinua. ..Audience:. | | 出版日期 | Book 1998 | | 關鍵詞 | Evolution; Operator; calculus; differential equation; evolutionary biology; geometry; mechanics; modeling; p | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-011-5282-2 | | isbn_softcover | 978-94-010-6223-7 | | isbn_ebook | 978-94-011-5282-2 | | copyright | Springer Science+Business Media Dordrecht 1998 |
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