| 书目名称 | Twisted Isospectrality, Homological Wideness, and Isometry | | 副标题 | A Sample of Algebrai | | 编辑 | Gunther Cornelissen,Norbert Peyerimhoff | | 视频video | http://file.papertrans.cn/932/931261/931261.mp4 | | 概述 | This book is open access, which means that you have free and unlimited access.Offers a solid background on the theory of twisting Laplace operators on Riemannian manifolds.Includes many examples and s | | 丛书名称 | SpringerBriefs in Mathematics | | 图书封面 |  | | 描述 | The question of reconstructing a geometric shape from spectra of operators (such as the Laplace operator) is decades old and an active area of research in mathematics and mathematical physics. This book focusses on the case of compact Riemannian manifolds, and, in particular, the question whether one can find finitely many natural operators that determine whether two such manifolds are isometric (coverings)..The methods outlined in the book fit into the tradition of the famous work of Sunada on the construction of isospectral, non-isometric manifolds, and thus do .not. focus on analytic techniques, but rather on algebraic methods: in particular, the analogy with constructions in number theory, methods from representation theory, and from algebraic topology..The main goal of the book is to present the construction of finitely many “twisted” Laplace operators whose spectrum determines covering equivalence of two Riemannian manifolds..The book has a leisure pace and presents details and examples that are hard to find in the literature, concerning: fiber products of manifolds and orbifolds, the distinction between the spectrum and the spectral zeta function for general operators, stron | | 出版日期 | Book‘‘‘‘‘‘‘‘ 2023 | | 关键词 | Riemannian manifolds; twisted Laplacian; Sunada theory; spectral zeta function; finite group actions on | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-27704-7 | | isbn_softcover | 978-3-031-27703-0 | | isbn_ebook | 978-3-031-27704-7Series ISSN 2191-8198 Series E-ISSN 2191-8201 | | issn_series | 2191-8198 | | copyright | The Author(s) 2023 |
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