Results 101 to 110 of about 738,602 (182)

Structural theorems for topological actions of Z2-torion real, complex and quaternionic projective spaces [PDF]

, 1975
Wu Yi Hsiang
openalex   +1 more source

Complete hyperkaehler 4n-manifolds with a local tri-Hamiltonian R^n-action

, 1999
We classify those manifolds mentioned in the title which have finite topological type. Namely we show any such connected M is isomorphic to a hyperkaehler quotient of a flat quaternionic vector space by an abelian group.
Bielawski, Roger
core  

Kulkarni limit sets for cyclic quaternionic projective groups [PDF]

arXiv
We consider the natural action of the quaternionic projective linear group $\mathrm{PSL}(n+1,\mathbb{H})$ on the quaternionic projective space $\mathbb{P}^n_{\mathbb{H}}$. We compute the Kulkarni limit sets for the cyclic subgroups of $\mathrm{PSL}(n+1,\mathbb{H})$.
arxiv  

Quaternionic contact hypersurfaces in hyper-Kähler manifolds [PDF]

arXiv, 2014
We describe explicitly all quaternionic contact hypersurfaces (qc-hypersurfaces) in the flat quaternion space $\Hnn$ and the quaternion projective space. We show that up to a quaternionic affine transformation a qc-hypersurface in $\Hnn$ is contained in one of the three qc-hyperquadrics in $\Hnn$. Moreover, we show that an embedded qc-hypersurface in a
arxiv  

Scalar-flat Kähler orbifolds via quaternionic-complex reduction [PDF]

arXiv, 2009
We prove that any asymptotically locally Euclidean scalar-flat K\"ahler 4-orbifold whose isometry group contains a 2-torus is isometric, up to an orbifold covering, to a quaternionic-complex quotient of a $k$-dimensional quaternionic vector space by a $(k-1)$-torus.
arxiv  

Foundations of the Quaternion Quantum Mechanics. [PDF]

Entropy (Basel), 2020
Danielewski M, Sapa L.
europepmc   +1 more source

GKM actions on almost quaternionic manifolds [PDF]

arXiv
We introduce quaternionic structures on abstract GKM graphs, as the combinatorial counterpart of almost quaternionic structures left invariant by a torus action of GKM type. In the GKM$_3$ setting the 2-faces of the GKM graph can naturally be divided into quaternionic and complex 2-faces; it turns out that for GKM$_3$ actions on positive quaternion-K ...
arxiv  

Quantization of the Geodesic flow on Quaternion Projective Spaces [PDF]

Annals of Global Analysis and Geometry 22: 1-17, 2002, 2003
We study a problem of the geometric quantization for the quaternion projective space. First we explain a Kaehler structure on the punctured cotangent bundle of the quaternion projective space, whose Kaehler form coincides with the natural symplectic form on the cotangent bundle and show that the canonical line bundle of this complex structure is ...
arxiv  

The string topology coproduct on complex and quaternionic projective space

, 2022
Maximilian Stegemeyer
openalex   +2 more sources

Geodesic fibrations for packing diabolic domains. [PDF]

Proc Natl Acad Sci U S A, 2020
Kamien RD, Machon T.
europepmc   +1 more source