Topology and Geometry of Intersections of Ellipsoids in R^n
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 fir...
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| Format: | Electrònic eBook |
| Idioma: | anglès |
| Publicat: |
Cham :
Springer International Publishing : Imprint: Springer,
2023.
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| Edició: | 1st ed. 2023. |
| Col·lecció: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics,
361 |
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| Accés en línia: | https://doi.org/10.1007/978-3-031-28364-2 |
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Taula de continguts:
- 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.