Abstract
We explain in some detail the geometric structure of spheres in any dimension. Our approach may be helpful for other homogeneous spaces (with other signatures) such as the de Sitter and anti-de Sitter spaces. We apply the procedure to the recently proposed division-algebras/Poincaré-conjecture correspondence. Moreover, we explore the possibility of a connection between N-qubit system and the Hopf maps. We also discuss the possible links of our work with squashed-spheres in supergravity and pseudo-spheres in oriented matroid theory.
Original language | English |
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Pages (from-to) | 955-975 |
Number of pages | 21 |
Journal | Journal of Interdisciplinary Mathematics |
Volume | 19 |
Issue number | 5-6 |
DOIs | |
State | Published - 1 Nov 2016 |
Bibliographical note
Publisher Copyright:© 2016 Taru Publications.
Keywords
- Poincaré-Conjecture and Division Algebras
- Spheres