Introduction to Riemannian Manifolds by John M Lee
This textbook is designed for a one or two semester graduate course on Riemannian geometry for students who are familiar with topological and differentiable manifolds.-
Algebra
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The Arithmetic of Elliptic Curves
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Brownian Motion and Stochastic Calculus
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Applications of Lie Groups to Differential Equations
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Representation Theory
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Advanced Linear Algebra
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Groups and Representations
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Modular Functions and Dirichlet Series in Number Theory
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Introduction to Topological Manifolds
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Categories for the Working Mathematician
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Quaternion Algebras
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Measure, Integration & Real Analysis
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Differential Forms in Algebraic Topology
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Complex Analysis
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Modern Graph Theory
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Problems in Analytic Number Theory
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A Course in the Theory of Groups
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Fermat's Last Theorem
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Holomorphic Functions and Integral Representations in Several Complex Variables
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Elements of Homotopy Theory
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Graph Theory
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Probability Theory I
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Algebraic Number Theory
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Topology and Geometry
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An Introduction to Algebraic Topology
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The Geometry of Schemes
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Foundations of Differentiable Manifolds and Lie Groups
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Abstract Algebra
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Linear Representations of Finite Groups
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A Classical Introduction to Modern Number Theory
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Introduction to Smooth Manifolds
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Brownian Motion, Martingales, and Stochastic Calculus
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Lie Groups, Lie Algebras, and Representations
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Algebraic Geometry
“One interesting aspect of the book is the decision of which audience to target it towards… Overall, this would make a very appropriate text for a graduate course, or a programme of individual study in Riemannian geometry, whether to give a thorough treatment of the fundamentals, or to introduce the more advanced topics in global geometry.” (Robert J. Low, Mathematical Reviews, November, 2019)
“This material is carefully developed and several useful examples and exercises are included in each chapter. The reviewer’s belief is that this excellent edition will become soon a standard text for several graduate courses as well as an frequent citation in articles.” (Mircea Crâşmăreanu, zbMATH 1409.53001, 2019)
“This material is carefully developed and several useful examples and exercises are included in each chapter. The reviewer’s belief is that this excellent edition will become soon a standard text for several graduate courses as well as an frequent citation in articles.” (Mircea Crâşmăreanu, zbMATH 1409.53001, 2019)
Lee is a mathematics professor at the University of Washington. Professor Lee is the author of three Springer graduate textbooks: Introduction to Smooth Manifolds (GTM 218), Introduction to Topological Manifolds (GTM 202), and Riemannian Manifolds (GTM 176). Differential geometry, the Yamabe problem, the existence of Einstein metrics, the constraint equations in general relativity, and geometry and analysis on CR manifolds are among Lee's major interests.
| SKU | Unavailable |
| ISBN 13 | 9783030801069 |
| ISBN 10 | 3030801063 |
| Title | Introduction to Riemannian Manifolds |
| Author | John M Lee |
| Series | Graduate Texts In Mathematics |
| Condition | Unavailable |
| Binding Type | Paperback |
| Publisher | Springer Nature Switzerland AG |
| Year published | 2021-08-05 |
| Number of pages | 437 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |