Results 41 to 50 of about 730,356 (163)

Minimal $δ(2)$-ideal Lagrangian submanifolds and the Quaternionic projective space

open access: greenSocial Science Research Network, 2023
Kristof Dekimpe   +2 more
openalex   +3 more sources

On the quaternion projective space [PDF]

open access: yesJournal of Taibah University for Science, 2020
Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we consider real, complex and quaternion projective spaces.
Y. Omar   +4 more
openaire   +3 more sources

A NOTE ON THE QUATERNIONIC QUASI-PROJECTIVE SPACE

open access: bronzeMemoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1984
Juno Mukai, Shichirô Oka
openalex   +4 more sources

Symmetries of quaternionic Kähler manifolds with S1‐symmetry

open access: yesTransactions of the London Mathematical Society, 2021
We study symmetry properties of quaternionic Kähler manifolds obtained by the HK/QK correspondence. To any Lie algebra g of infinitesimal automorphisms of the initial hyper‐Kähler data, we associate a central extension of g, acting by infinitesimal ...
V. Cortés, A. Saha, D. Thung
doaj   +1 more source

Higher derivative couplings of hypermultiplets

open access: yesJournal of High Energy Physics, 2023
We construct the four-derivative supersymmetric extension of (1, 0), 6D supergravity coupled to Yang-Mills and hypermultiplets. The hypermultiplet scalars are taken to parametrize the quaternionic projective space Hp(n) = Sp(n, 1)/Sp(n) × Sp(1) R .
Hao-Yuan Chang   +2 more
doaj   +1 more source

Envelopes and osculates of Willmore surfaces [PDF]

open access: yes, 2005
We view conformal surfaces in the 4--sphere as quaternionic holomorphic curves in quaternionic projective space. By constructing enveloping and osculating curves, we obtain new holomorphic curves in quaternionic projective space and thus new conformal ...
Blaschke   +15 more
core   +4 more sources

Almost CR quaternionic manifolds and their immersibility in HP^n [PDF]

open access: yes, 2016
We apply the general theory of codimension one integrability conditions for $G$-structures developed in arXiv:1306.6817v3 [math.DG] to the case of quaternionic CR geometry.
Santi, Andrea
core   +1 more source

Grassmannians,Calibrations and Five-Brane Intersections [PDF]

open access: yes, 1998
We present a geometric construction of a new class of hyper-Kahler manifolds with torsion. This involves the superposition of the four-dimensional hyper-Kahler geometry with torsion associated with the NS-5-brane along quaternionic planes in quaternionic
Papadopoulos, G., Teschendorff, A.
core   +2 more sources

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