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Title: Isospectral, non-isometric Riemannian manifolds (English)
Author: Schueth, Dorothea
Language: English
Journal: Proceedings of the Winter School "Geometry and Physics"
Volume:
Issue: 1993
Year:
Pages: [207]-231
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Category: math
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Summary: The author gives a survey of the history of isospectral manifolds that are non-isometric discussing the work of Milnor, Vign\'eras, Sunada, and de Turck and Gordon. She describes the construction of continuous isospectral deformations as introduced by Gordon, Wilson, De Turck et al. She also discusses the construction of isospectral plane domains due to Gordon, Webb, and Wolpert. Some new examples of isospectral non-isometric manifolds are given. (English)
MSC: 53C20
MSC: 58G25
MSC: 58J50
idZBL: Zbl 0838.53034
idMR: MR1344013
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Date available: 2009-07-13T21:34:02Z
Last updated: 2012-09-18
Stable URL: http://hdl.handle.net/10338.dmlcz/701557
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