Results 61 to 70 of about 3,896,545 (115)
Group actions on homology quaternionic projective planes
, 1978 A class of Z p {{\mathbf {Z}}_p} -actions, resembling well-known actions on the quaternionic projective plane, is defined and studied.
Steven H. Weintraub
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Whitney numbers of projective space over R, C, H and the p-adics [PDF]
, 1995 We define Whitney numbers for real projective space, complex projective space, quaternionic projective space, and projective space over the p ...
Fisk, Steve
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On the stability of the quaternion projective space
Reports on Mathematical Physics10 pages, revised version. We have harmonized the signs of two formulas taken from different references, but which corresponded to some distinct sign conventions for the Riemannian curvature tensor.
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Derivations and Extensions in JC‐Algebras
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.A well‐known result by Upmeier states that every derivation on a universally reversible JC‐algebra A⊆B(H)sa extends to the C∗‐algebra [A] generated by A in B(H). In this paper, we significantly strengthen this result by proving that every Jordan derivation on a universally reversible JC‐algebra A extends to ∗‐derivations on its universal enveloping ...
Fatmah B. Jamjoom +2 more
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Stably extendible vector burdles over the quaternionic projective spaces [PDF]
, 1999 We show that, if a quaternionic k-dimensional vector bundle y over the quaternionic projective space HP^n is stably extendible and its non-zero top Pontrjagin class is not zero mod 2, then γ is stably equivalent to the Whitney sum of k quaternionic line ...
Kuwana, Kouji, Imaoka, Mitsunori
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Harmonic Riemannian submersions between Riemannian symmetric spaces of noncompact type
Bulletin of the London Mathematical Society, Volume 56, Issue 12, Page 3634-3642, December 2024.Abstract We construct harmonic Riemannian submersions that are retractions from symmetric spaces of noncompact type onto their rank‐one totally geodesic subspaces. Among the consequences, we prove the existence of a nonconstant, globally defined complex‐valued harmonic morphism from the Riemannian symmetric space associated to a split real semisimple ...
F. E. Burstall
wiley +1 more source
The maximal codegree of the quaternionic projective spaces
Hiroshima Mathematical Journal, 1990 Let \(\alpha\) be a k-dimensional orientable real vector bundle over a finite connected CW-complex X with Thom space \(X^{\alpha}\) and i: \(S^ k=\{x_ 0\}^{\alpha}\to X^{\alpha}\) the canonical inclusion. For a multiplicative cohomology theory \(E^*\) with unit 1 define the E- codegree of \(\alpha\), \(cd^ E(\alpha)\) to be the smallest \(n\in {\mathbb{
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Loop homology of quaternionic projective spaces
, 2010 8 ...
Cadek, Martin, Moravec, Zdenek
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Cycle-parallel real hypersurfaces of quaternionic projective space [PDF]
Tsukuba Journal of Mathematics, 1993 A hypersurface \(M\) of a Riemannian manifold \(A\) is said to be cyclic- parallel, if its shape operator \(A\) satisfies \({\mathfrak S} \langle (\nabla_ X A)Y, Z\rangle = 0\) for all \(X\), \(Y\), \(Z\) tangent to \(M\) where \(\mathfrak S\) denotes the cyclic sum with respect to \(X\), \(Y\), \(Z\). In the paper the following is proved: Let \(N\) be
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Harmonic morphisms from quaternionic projective spaces
, 1995 In this paper we give a method for constructing harmonic morphisms from quaternionic projective spaces HopfP k with values in a Riemann ...
Gudmundsson, Sigmundur
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