Results 61 to 70 of about 4,039,367 (143)
Relative cubulation of relative strict hyperbolization
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
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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ON A COMPACT AND MINIMAL REAL HYPERSURFACE IN A QUATERNIONIC PROJECTIVE SPACE
Bulletin of the Korean Mathematical Society, 2005 Let \(\mathbb Q\mathbb P^n\) be a quaternionic projective space of real dimension \(4n\) \((n\geq 2)\), with the Fubini-Study metric of constant \(\mathbb Q\)-sectional curvature 4 and \(M^{\mathbb Q}_{0, n-1}\) be the geodesic minimal hypersphere of \(\mathbb Q\mathbb P^n\). The authors give a new characterization of the hypersphere \(M^{\mathbb Q}_{0,
Choe, Yeong-Wu, Jeong, Imsoon
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Involutions on the product of Quaternionic Projective space and Sphere
, 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
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Submaximally symmetric almost quaternionic structures [PDF]
, 2017 The symmetry dimension of a geometric structure is the dimension of its symmetry algebra. We investigate symmetries of almost quaternionic structures of quaternionic dimension n. The maximal possible symmetry is realized by the quaternionic projective
Zalabová, Lenka +5 more
core +1 more source
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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Loop homology of quaternionic projective spaces
, 2010 8 ...
Cadek, Martin, Moravec, Zdenek
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Equivariant harmonic maps of the complex projective spaces into the quaternion projective spaces
Equivariant harmonic maps of the complex projective spaces into the quaternion projective spacesWe classify equivariant harmonic maps of the complex projective spaces CPm into the quaternion projective spaces. To do this, we employ differential geometry of vector bundles and connections. When the domain is the complex projective line, we have one parameter family of those maps. (This result is already shown in [2]and [4]in other ways).
Isami Koga, Yasuyuki Nagatomo
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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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Actions of Vanishing Homogeneity Rank on Quaternionic-Kähler Projective Spaces
Journal of Lie Theory, 2008 We classify isometric actions of compact Lie groups on quaternionic-Kähler projective spaces with vanishing homogeneity rank. We also show that they are not in general quaternion-coisotropic.
BEDULLI, LUCIO, GORI A.
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