Open Daily: 10am - 10pm | Alley door pickup 10am - 7pm 3038 Hennepin Ave Minneapolis, MN
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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Geometry, Dynamics, and Rigidity

Geometry, Dynamics, and Rigidity

Wilkinson, Amie

Hardcover

Geometry

PREORDER - Expected ship date December 15, 2026

ISBN10: 0691280843
ISBN13: 9780691280844
Publisher: Princeton University Press
Published: Dec 15 2026
Pages: 600
Weight: 3.55
Height: 1.50 Width: 7.10 Depth: 10.10
Language: English

A generously illustrated textbook and reference for graduate students and researchers that integrates two major areas of mathematics

Geometry, Dynamics, and Rigidity is an introduction to the modern interface between Riemannian geometry and dynamical systems. Organized in three parts, the book builds the geometric and analytic background (Geometry), develops the core machinery of hyperbolic dynamics (Dynamics), and then assembles these tools to prove three landmark rigidity theorems (Rigidity). Amie Wilkinson's informal yet precise and detailed exposition balances approachability with depth: definitions and motivations appear where they are first needed, proofs are complete and carefully structured, and historical notes connect classical ideas to current research.

Designed for beginning graduate students as well as researchers entering from either side of the subject, the text emphasizes concepts--including geodesic flows, curvature and entropy, Anosov and related systems, and invariant measures and regularity--while showing how they interact to force rigidity. Numerous exercises guide the reader from basic checks to open-ended problems, and cross-references allow selective reading by topic. The result is a self-contained pathway from fundamentals to state-of-the-art theorems, suitable for use in a topics course or as a long-term reference.

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