Response to the Comment by G. Emch on Projective Group Representations in Quaternionic Hilbert Space [PDF]
, 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.
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A NOTE ON THE QUATERNIONIC QUASI-PROJECTIVE SPACE
Memoirs of the Faculty of Science, Kyushu University. Series A, Mathematics, 1984 Juno Mukai, Shichirô Oka
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Almost CR quaternionic manifolds and their immersibility in HP^n [PDF]
, 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
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Grassmannians,Calibrations and Five-Brane Intersections [PDF]
, 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.
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Quaternionic holomorphic geometry: Pluecker formula, Dirac eigenvalue estimates and energy estimates of harmonic 2-tori [PDF]
, 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
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Real hypersurfaces of type A in quarternionic projective space
International 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
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Involutions fixing HP1(2m)∪HP2(2m)∪HP(2n+1) of the fixed point set
Journal 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
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On real hypersurfaces in quaternionic projective space with 𝒟⊥-recurrent second fundamental tensor
International 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
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A Rejoinder on Quaternionic Projective Representations [PDF]
, 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
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Simple closed curves, non‐kernel homology and Magnus embedding
Journal 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
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