Results 51 to 60 of about 257,637 (166)

Response to the Comment by G. Emch on Projective Group Representations in Quaternionic Hilbert Space [PDF]

open access: yes, 1996
We discuss the differing definitions of complex and quaternionic projective group representations employed by us and by Emch. The definition of Emch (termed here a strong projective representation) is too restrictive to accommodate quaternionic Hilbert ...
Adler, S. L.
core   +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

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

Quaternionic holomorphic geometry: Pluecker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2-tori [PDF]

open access: yes, 2000
The paper develops the fundamentals of quaternionic holomorphic curve theory. The holomorphic functions in this theory are conformal maps from a Riemann surface into the 4-sphere, i.e., the quaternionic projective line.
Ferus, D.   +3 more
core   +3 more sources

Real hypersurfaces of type A in quarternionic projective space

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1997
In this paper, under certain conditions on the orthogonal distribution 𝒟, we give a characterization of real hypersurfaces of type A in quaternionic projective space QPm.
U-Hang Ki   +2 more
doaj   +1 more source

Involutions fixing HP1(2m)∪HP2(2m)∪HP(2n+1) of the fixed point set

open access: yesJournal of Hebei University of Science and Technology, 2015
Let (Mr,T) be a smooth closed manifold of dimension r with a smooth involution T whose fixed point set is F=HP1(2m)∪HP2(2m)∪HP(2n+1)(m≥1), where HP(n) denotes the n-dimensional quaternionic projective space.
Suqian ZHAO
doaj   +1 more source

On real hypersurfaces in quaternionic projective space with 𝒟⊥-recurrent second fundamental tensor

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1999
In this paper, we give a complete classification of real hypersurfaces in a quaternionic projective space QPm with 𝒟⊥-recurrent second fundamental tensor under certain condition on the orthogonal distribution 𝒟.
Young Jin Suh, Juan De Dios Pérez
doaj   +1 more source

A Rejoinder on Quaternionic Projective Representations [PDF]

open access: yes, 1997
In a series of papers published in this Journal (J. Math. Phys.), a discussion was started on the significance of a new definition of projective representations in quaternionic Hilbert spaces.
Emch G. G.   +3 more
core   +4 more sources

Simple closed curves, non‐kernel homology and Magnus embedding

open access: yesJournal of Topology, Volume 18, Issue 2, June 2025.
Abstract We consider the subspace of the homology of a covering space spanned by lifts of simple closed curves. Our main result is the existence of unbranched covers of surfaces where this is a proper subspace. More generally, for a fixed finite solvable quotient of the fundamental group we exhibit a cover whose homology is not generated by the lifts ...
Adam Klukowski
wiley   +1 more source

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