Results 11 to 20 of about 3,896,545 (115)

On certain real hypersurfaces of quaternionic projective space [PDF]

open access: yesInternational 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   +2 more sources

Spaces which Look Like Quaternionic Projective n-Space [PDF]

open access: yesTransactions of the American Mathematical Society, 1982
The projective n n -spaces which correspond to the various multiplicative structures on the three sphere are studied ...
C. A. McGibbon
openaire   +3 more sources

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   +2 more sources

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

open access: yesJournal of the London Mathematical Society, 2009
We prove that a compact quaternionic-Kähler 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-Kähler structure.
L. DAVID, PONTECORVO, Massimiliano
openaire   +4 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

Real hypersurfaces of type A in quarternionic projective space [PDF]

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   +2 more sources

Involutions on the product of Quaternionic Projective space and Sphere

open access: yes, 2023
Let G = Z2 act on a finite CW-complex X having mod 2 cohomology isomorphic to the product of quaternionic projective space and sphere HPn x Sm, n, m > or = 1. This paper is concerned with the connected fixed point sets and the orbit spaces of free involutions on X.
Dimpi, Singh, Hemant Kumar
openaire   +3 more sources

Algebraic tools for the study of quaternionic behavioral systems [PDF]

open access: yes, 2005
In this paper we study behavioral systems whose trajectories are given as solutions of quaternionic difference equations. As happens in the commutative case, it turns out that quaternionic polynomial matrices play an important role in this context ...
Vettori, Paolo   +2 more
core   +1 more source

Rigidity in Complex Projective Space. [PDF]

open access: yes
An open convex set in real projective space is called divisible if there exists a discrete group of projective automorphisms which acts co-compactly. There are many examples of such sets and a theorem of Benoist implies that many of these examples are ...
Zimmer, Andrew M.
core   +7 more sources

Stability of quaternionic linear systems [PDF]

open access: yes, 2006
The main goal of this paper is to characterize stability and bounded-input-bounded-output (BIBO)-stability of quaternionic dynamical systems. After defining the quaternion skew-field, algebraic properties of quaternionic polynomials such as divisibility ...
Vettori, Paolo, Pereira, Ricardo
core   +1 more source

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