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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
Topology and Geometry of Intersections of Ellipsoids in R^n

Topology and Geometry of Intersections of Ellipsoids in R^n

López de Medrano, Santiago

Paperback

Series: Grundlehren Der Mathematischen Wissenschaften, Book 361

General MathematicsGeometry

Currently unavailable to order

ISBN10: 303128366X
ISBN13: 9783031283666
Publisher: Springer
Published: May 26 2024
Pages: 282
Language: English

This book gives an overview of research in the topology and geometry of intersections of quadrics in $\mathbb{R} n$, with a focus on intersections of concentric ellipsoids and related spaces. Unifying and organizing material previously spread over many articles, it also contains new results.

The first part provides very detailed foundations of a wide-ranging theory that could be useful for future developments. It includes chapters on general intersections of quadrics, operations on them, and intersections of concentric and coaxial quadrics. Moving from the general to the specific, the second part focuses on a topological description of transverse intersections of concentric ellipsoids, including a complete description of the case of three ellipsoids, and of some large families of more than three of them. The third part looks at relations to other areas of mathematics such as dynamical systems, complex geometry, contact and symplectic geometry, andother applications. An appendix gathers some technical items and also gives an account of the origins, motivations and progression of the subject, including historical recollections of the author, who has been central to its development.

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