Results 11 to 20 of about 738,602 (182)
A characterization of quaternionic projective space by the conformal-Killing equation [PDF]
Journal of the London Mathematical Society, 2008 We prove that a compact quaternionic-K\"{a}hler manifold of dimension $4n\geq 8$ admitting a conformal-Killing 2-form which is not Killing, is isomorphic to the quaternionic projective space, with its standard quaternionic-K\"{a}hler structure.
Liana David, Massimiliano Pontecorvo
arxiv +11 more sources
On certain real hypersurfaces of quaternionic projective space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1991 We classify certain real hypersurfaces ot a quaternionic projective space satisfying the condition σ(R(X,Y)SZ)=0.
Juan De Dios Perez, Florentino G. Santos
doaj +6 more sources
On submersion and immersion submanifolds of a quaternionic projective space [PDF]
Acta Universitatis Sapientiae: Mathematica, 2016 We study submanifolds of a quaternionic projective space, it is of great interest how to pull down some formulae deduced for submanifolds of a sphere to those for submanifolds of a quaternionic projective space.
Abedi Esmail, Nazari Zahra
doaj +5 more sources
The moduli space of points in quaternionic projective space [PDF]
Hiroshima Mathematical Journal, 2022 31 ...
Wensheng Cao
semanticscholar +5 more sources
On the Ricci tensor of real hypersurfaces of quaternionic projective space [PDF]
International Journal of Mathematics and Mathematical Sciences, 1996 We study some conditions on the Ricci tensor of real hypersurfaces of quaternionic projective space obtaining among other results an improvement of the main theorem in [9].
Juan De Dios Perez
doaj +3 more sources
A characterization of real hypersurfaces of quaternionic projective space [PDF]
Tsukuba Journal of Mathematics, 1991 We study a condition that allows us to characterize all real hypersurfaces of quaternionic projective space known untilnow.
Juan de Dios Pérez
semanticscholar +5 more sources
Maps to Spaces in the Genus of Infinite Quaternionic Projective Space [PDF]
, 2003 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
semanticscholar +6 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
arxiv +5 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
arxiv +5 more sources
The string topology coproduct on complex and quaternionic projective space [PDF]
manuscripta mathematica, 2022 AbstractOn the free loop space of compact symmetric spaces Ziller introduced explicit cycles generating the homology of the free loop space. We use these explicit cycles to compute the string topology coproduct on complex and quaternionic projective space. The behavior of the Goresky-Hingston product for these spaces then follows directly.
Maximilian Stegemeyer
semanticscholar +6 more sources