Results 61 to 70 of about 5,080 (119)

Heavenly metrics, hyper‐Lagrangians and Joyce structures

open access: yesJournal 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

open access: yesMathematical 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

The maximal codegree of the quaternionic projective spaces

open access: yesHiroshima Mathematical Journal, 1990
Let \(\alpha\) be a k-dimensional orientable real vector bundle over a finite connected CW-complex X with Thom space \(X^{\alpha}\) and i: \(S^ k=\{x_ 0\}^{\alpha}\to X^{\alpha}\) the canonical inclusion. For a multiplicative cohomology theory \(E^*\) with unit 1 define the E- codegree of \(\alpha\), \(cd^ E(\alpha)\) to be the smallest \(n\in {\mathbb{
openaire   +2 more sources

Equivariant harmonic maps of the complex projective spaces into the quaternion projective spaces

open access: yesEquivariant harmonic maps of the complex projective spaces into the quaternion projective spaces
We classify equivariant harmonic maps of the complex projective spaces CPm into the quaternion projective spaces. To do this, we employ differential geometry of vector bundles and connections. When the domain is the complex projective line, we have one parameter family of those maps. (This result is already shown in [2]and [4]in other ways).
Isami Koga, Yasuyuki Nagatomo
openaire   +2 more sources

Factorization of quaternionic polynomials of bi-degree (n,1). [PDF]

open access: yesBeitr Algebra Geom, 2023
Lercher J   +3 more
europepmc   +1 more source

Willmore spheres in quaternionic projective space

open access: yes, 2002
23 pages, v2: improved presentation, qualified references ...
openaire   +2 more sources

Projective-Space Colour Filters Using Quaternion Algebra

open access: yes, 2008
Publication in the conference proceedings of EUSIPCO, Lausanne, Switzerland ...
Todd A. Ell, Stephen J. Sangwine
openaire   +3 more sources

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