Results 61 to 70 of about 5,178 (157)
Quantization of the Geodesic Flow on Quaternion Projective Spaces
Annals of Global Analysis and Geometry, 2002 no ...
openaire +2 more sources
Metrics of positive Ricci curvature on simply‐connected manifolds of dimension 6k$6k$
Journal of Topology, Volume 17, Issue 4, December 2024.Abstract A consequence of the surgery theorem of Gromov and Lawson is that every closed, simply‐connected 6‐manifold admits a Riemannian metric of positive scalar curvature. For metrics of positive Ricci curvature, it is widely open whether a similar result holds; there are no obstructions known for those manifolds to admit a metric of positive Ricci ...
Philipp Reiser
wiley +1 more source
Stably extendible vector bundles over the quaternionic projective spaces
Hiroshima Mathematical Journal, 1999 Let \(\mathbb HP^n\) denote quaternionic projective \(n\)-space. Let a quaternionic \(k\)-dimensional \((k\leq n)\) vector bundle \(\gamma\) over \(\mathbb HP^n\) be stably extendible (that is, for each \(m\geq n\), the bundle \(\gamma\) is stably equivalent to the \(\mathbb HP^n\)-restriction of a quaternionic \(k\)-dimensional vector bundle ...
Imaoka, Mitsunori, Kuwana, Kouji
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Heavenly metrics, hyper‐Lagrangians and Joyce structures
Journal of the London Mathematical Society, Volume 110, Issue 5, November 2024.Abstract In [Proc. Sympos. Pure Math., American Mathematical Society, Providence, RI, 2021, pp. 1–66], Bridgeland defined a geometric structure, named a Joyce structure, conjectured to exist on the space M$M$ of stability conditions of a CY3$CY_3$ triangulated category.
Maciej Dunajski, Timothy Moy
wiley +1 more source
Multiplicative generalized tube surfaces with multiplicative quaternions algebra
Mathematical Methods in the Applied Sciences, Volume 47, Issue 11, Page 9157-9168, 30 July 2024.Along with other types of calculus, multiplicative calculus brings an entirely new perspective. Geometry now has a new field as a result of this new understanding. In this study, multiplicative differential geometry was used to explore peculiar surfaces. Multiplicative quaternions are also used to depict surfaces.
Hazal Ceyhan +2 more
wiley +1 more source
Hofer–Zehnder capacity of disc tangent bundles of projective spaces
Journal of the London Mathematical Society, Volume 110, Issue 1, July 2024.Abstract We compute the Hofer–Zehnder capacity of disc tangent bundles of the complex and real projective spaces of any dimension. The disc bundle is taken with respect to the Fubini–Study resp. round metric, but we can obtain explicit bounds for any other metric.
Johanna Bimmermann
wiley +1 more source
Projective-Space Colour Filters Using Quaternion Algebra
, 2008 Publication in the conference proceedings of EUSIPCO, Lausanne, Switzerland ...
Ell, Todd, Sangwine, Stephen
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Torus action on quaternionic projective plane and related spaces
, 2019 For an action of a compact torus $T$ on a smooth compact manifold~$X$ with isolated fixed points the number $\frac{1}{2}\dim X-\dim T$ is called the complexity of the action.
Ayzenberg, Anton
core
Factorization of quaternionic polynomials of bi-degree (n,1). [PDF]
Beitr Algebra Geom, 2023 Lercher J +3 more
europepmc +1 more source
Nematic bits and universal logic gates. [PDF]
Sci Adv, 2022 Kos Ž, Dunkel J.
europepmc +1 more source