Results 11 to 20 of about 257,637 (166)

On certain real hypersurfaces of quaternionic projective space [PDF]

open access: goldInternational 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]

open access: diamondActa 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]

open access: goldHiroshima Mathematical Journal, 2022
Let $\mathcal{M}(n,m;\F \bp^n)$ be the configuration space of $m$-tuples of pairwise distinct points in $\F \bp^n$, that is, the quotient of the set of $m$-tuples of pairwise distinct points in $\F \bp^n$ with respect to the diagonal action of ${\rm PU ...
Wensheng Cao
semanticscholar   +5 more sources

On the Ricci tensor of real hypersurfaces of quaternionic projective space [PDF]

open access: goldInternational 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 pseudo-Einstein real hypersurfaces in a quaternionic projective space [PDF]

open access: bronze, 1996
Let HPn be a quaternionic projective space, n≧3, with metric G of constant quaternionic sectional curvature 4, and let M be a connected real hypersurface of HPn. Let ζ be a unit local normal vector field on M and (I,J,K) a local basis of the quaternionic
Hamada Tatsuyoshi
core   +4 more sources

A characterization of quaternionic projective space by the conformal-Killing equation [PDF]

open access: greenJournal of the London Mathematical Society, 2009
We prove that any compact, quaternionic‐Kähler manifold of dimension 4n ⩾ 8 admitting a conformal‐Killing 2‐form which is not Killing, is isomorphic to the quaternionic projective space, with its standard quaternionic‐Kähler structure.
Liana David, Massimiliano Pontecorvo
semanticscholar   +9 more sources

Maps to Spaces in the Genus of Infinite Quaternionic Projective Space [PDF]

open access: green, 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.
Donald Yau
semanticscholar   +6 more sources

A characterization of real hypersurfaces of quaternionic projective space [PDF]

open access: bronzeTsukuba 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

The string topology coproduct on complex and quaternionic projective space [PDF]

open access: hybridManuscripta mathematica, 2022
On 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.
Maximilian Stegemeyer
openalex   +3 more sources

QR-Submanifolds of (p−1)  QR-Dimension in a Quaternionic Projective Space QP(n+p)/4 under Some Curvature Conditions

open access: yesInternational 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

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