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Ideas and techniques from the theory of integrable systems are playing an increasingly important role in geometry. Thanks to the development of tools from Lie t
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An emerging field of discrete differential geometry aims at the development of discrete equivalents of notions and methods of classical differential geometry. T
Differential Geometry and Mathematical Physics
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Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential
Integrability, Quantization, and Geometry: I. Integrable Systems
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This book is a collection of articles written in memory of Boris Dubrovin (1950–2019). The authors express their admiration for his remarkable personality and
Darboux Transformations in Integrable Systems
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The Darboux transformation approach is one of the most effective methods for constructing explicit solutions of partial differential equations which are called