Results 11 to 20 of about 730,325 (159)
International Journal of Mathematics and Mathematical Sciences, 2013 The purpose of this paper is to study n-dimensional QR-submanifolds of (p−1)QR-dimension in a quaternionic projective space QP(n+p)/4 and especially to determine such submanifolds under some curvature conditions.
Hyang Sook Kim, Jin Suk Pak
doaj +2 more sources
ON SOME MOMENT MAPS AND INDUCED HOPF BUNDLES IN THE QUATERNIONIC PROJECTIVE SPACE [PDF]
, 2000 We describe a diagram containing the zero sets of the moment maps associated to the diagonal U(1) and Sp(1) actions on the quaternionic projective space ℍPn. These sets are related both to focal sets of submanifolds and to Sasakian–Einstein structures on
Liviu Ornea, Paolo Piccinni
semanticscholar +5 more sources
On the symmetric squares of complex and quaternionic projective space [PDF]
Glasgow Mathematical Journal, 2016 The problem of computing the integral cohomology ring of the symmetric square of a topological space has long been of interest, but limited progress has been made on the general case until recently.
Yumi Boote, Nigel Ray
openalex +3 more sources
Moduli of triples of points in quaternionic hyperbolic geometry [PDF]
arXiv, 2023 In this work, we describe the moduli of triples of points in quaternionic projective space which define uniquely the congruence classes of such triples relative to the action of the isometry group of quaternionic hyperbolic space ${\rm H}^n_{\mathbb{Q}}$.
Almeida, Igor, Gusevskii, Nikolay
core +1 more source
SOME CURVATURE CONDITIONS OF n-DIMENSIONAL QR-SUBMANIFOLDS OF (p-1) QR-DIMENSION IN A QUATERNIONIC PROJECTIVE SPACE QP(n+p)/4 [PDF]
, 2003 The purpose of this paper is to study n-dimensional QR-submanifolds of (p - 1) QR-dimension in a quaternionic projective space and especially to determine such submanifolds under the curvature conditions appeared in (5.1) and (5.2).
Jin-Suk Pak, Won-Ho Sohn
openalex +2 more sources
Cycle-parallel real hypersurfaces of quaternionic projective space [PDF]
, 1993 We classify cyclic-parallel real hypersurfaces of quaternionic projective ...
Perez Juan de Dios
core +2 more sources
Minimal two-spheres with constant curvature in the quaternionic projective space [PDF]
Science China Mathematics, 2018 In this paper we completely classify the homogeneous two-spheres, especially, the minimal homogeneous ones in the quaternionic projective space ℍℙ n .
Jie Fei, Chiakuei Peng, Xiaowei Xu
openalex +3 more sources
Maps to spaces in the genus of infinite quaternionic projective space [PDF]
Categorical decomposition techniques in algebraic topology (Isle
of Skye, 2001), 293-302, Progr. Math. 215, Birkhauser, Basel, 2004., 2002 Spaces in the genus of infinite quaternionic projective space which admit essential maps from infinite complex projective space are classified. In these cases the sets of homotopy classes of maps are described explicitly. These results strengthen the classical theorem of McGibbon and Rector on maximal torus admissibility for spaces in the genus of ...
Donald Yau
openalex +3 more sources
Loop homology of quaternionic projective spaces [PDF]
arXiv, 2010 We determine the Batalin-Vilkovisky algebra structure of the integral loop homology of quaternionic projective spaces and octonionic projective plane.
Martin Čadek, Z. Moravec
openalex +3 more sources
Willmore spheres in quaternionic projective space [PDF]
arXiv, 2002 The Willmore energy for Frenet curves in quaternionic projective space is the generalization of the Willmore functional for immersions into the 4-sphere. Critical points of the Willmore energy are called Willmore curves in quaternionic projective space.
Katrin Leschke
openalex +3 more sources