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Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. It shows that there is quantum ergodicity of eigenfunctions if the geodesic flow is ergodic.
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Addresses a basic question in differential geometry that was first considered by physicists Stanley Deser and Adam Schwimmer in 1993 in their study of conformal anomalies.
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Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology, this book's... Læs mere
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Noncommutative geometry combines themes from algebra, analysis and geometry and has many applications to physics. This book focuses on cyclic theory, containing background not... Læs mere
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This book offers a concise and modern introduction to differential topology, the study of smooth manifolds and their properties, at the advanced... Læs mere
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Here Epstein deals with modern differential geometry by placing it within the context of its application to the mechanics of deformable media (continuum... Læs mere
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This textbook covers the classical topics of differential geometry of surfaces as studied by Gauss: the definition and geometric... Læs mere