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Topology and geometry of intersectio...

Lopez de Medrano, Santiago.

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Topology and geometry of intersections of ellipsoids in R^n

Record Type:	Electronic resources : Monograph/item
Title/Author:	Topology and geometry of intersections of ellipsoids in R^n/ by Santiago Lopez de Medrano.
Author:	Lopez de Medrano, Santiago.
Published:	Cham :Springer International Publishing : : 2023.,
Description:	1 online resource (xiii, 282 p.) :ill., digital ;24 cm.
[NT 15003449]:	1 Introduction -- PART I: General Results -- 2 General intersections of quadrics -- 3 Intersections of coaxial quadrics -- 4 Intersections of coaxial ellipsoids -- PART II: Topological description of transverse intersections of concentric ellipsoids -- 5 Characterization of connected sums -- 6 Three coaxial ellipsoids -- 7 Three concentric ellipsoids -- 8 More than three coaxial ellipsoids -- 9 A family of surfaces that are intersections of concentric, non-coaxial, ellipsoid -- PART III: Relations with other areas of Mathematics -- 10 Dynamical systems -- 11 Complex Geometry -- 12 Contact and symplectic Geometry -- 13 Intersections with dihedral symmetry -- 14 Toric Topology and polyhedral products -- PART IV: Appendices -- 15 Appendix 1. Proof of Theorem 2.1 -- 16 Appendix 2. Origins -- 17 Appendix 3. Diagonalizability of matrices -- 18 Appendix 4: Complements of products of spheres in spheres.
Contained By:	Springer Nature eBook
Subject:	Ellipsoid. -
Online resource:	https://doi.org/10.1007/978-3-031-28364-2
ISBN:	9783031283642

Topology and geometry of intersections of ellipsoids in R^n
Lopez de Medrano, Santiago.

Topology and geometry of intersections of ellipsoids in R^n[electronic resource] /by Santiago Lopez de Medrano. - Cham :Springer International Publishing :2023. - 1 online resource (xiii, 282 p.) :ill., digital ;24 cm. - Grundlehren der Mathematischen Wissenschaften, a series of comprehensive studies in mathematics,3612196-9701 ;. - Grundlehren der Mathematischen Wissenschaften, a series of comprehensive studies in mathematics ;361..

1 Introduction -- PART I: General Results -- 2 General intersections of quadrics -- 3 Intersections of coaxial quadrics -- 4 Intersections of coaxial ellipsoids -- PART II: Topological description of transverse intersections of concentric ellipsoids -- 5 Characterization of connected sums -- 6 Three coaxial ellipsoids -- 7 Three concentric ellipsoids -- 8 More than three coaxial ellipsoids -- 9 A family of surfaces that are intersections of concentric, non-coaxial, ellipsoid -- PART III: Relations with other areas of Mathematics -- 10 Dynamical systems -- 11 Complex Geometry -- 12 Contact and symplectic Geometry -- 13 Intersections with dihedral symmetry -- 14 Toric Topology and polyhedral products -- PART IV: Appendices -- 15 Appendix 1. Proof of Theorem 2.1 -- 16 Appendix 2. Origins -- 17 Appendix 3. Diagonalizability of matrices -- 18 Appendix 4: Complements of products of spheres in spheres.

ISBN: 9783031283642

Standard No.: 10.1007/978-3-031-28364-2doiSubjects--Topical Terms:

3634520
Ellipsoid.

LC Class. No.: QA561

Dewey Class. No.: 516.3

Topology and geometry of intersections of ellipsoids in R^n
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505 0 $a 1 Introduction -- PART I: General Results -- 2 General intersections of quadrics -- 3 Intersections of coaxial quadrics -- 4 Intersections of coaxial ellipsoids -- PART II: Topological description of transverse intersections of concentric ellipsoids -- 5 Characterization of connected sums -- 6 Three coaxial ellipsoids -- 7 Three concentric ellipsoids -- 8 More than three coaxial ellipsoids -- 9 A family of surfaces that are intersections of concentric, non-coaxial, ellipsoid -- PART III: Relations with other areas of Mathematics -- 10 Dynamical systems -- 11 Complex Geometry -- 12 Contact and symplectic Geometry -- 13 Intersections with dihedral symmetry -- 14 Toric Topology and polyhedral products -- PART IV: Appendices -- 15 Appendix 1. Proof of Theorem 2.1 -- 16 Appendix 2. Origins -- 17 Appendix 3. Diagonalizability of matrices -- 18 Appendix 4: Complements of products of spheres in spheres.
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