Results 71 to 80 of about 277 (149)
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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Yang-Mills theories in curved space-times [PDF]
, 1981 Multi-instanton solutions of four dimensional HP(^1) models are sought, and a singular two instant solution in flat Euclidean space time is constructed.
Dolan, B, Dolan, Brian P.
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An inclusive immersion into a quaternionic manifold and its invariants [PDF]
, 2017 We introduce a quaternionic invariant for an inclusive immersion into a quaternionic manifold, which is a quaternionic object corresponding to the Willmore functional.
79795 +3 more
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Space Forms of Grassmann Manifolds [PDF]
, 1963 We shall consider the classification problem for space forms of (Riemannian manifolds which are covered by) real, complex, and quaternionic Grassmann manifolds.
Joseph A. Wolf
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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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Reflection group of the quaternionic Lorentzian Leech lattice [PDF]
, 2007 We study a second example of the phenomenon studied in the article “The complex Lorentzian Leech lattice and the bimonster.” We find 14 roots in the automorphism group of the quaternionic Lorentzian Leech lattice L that form the Coxeter diagram given by ...
Basak, Tathagata
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Factorization of quaternionic polynomials of bi-degree (n,1). [PDF]
Beitr Algebra Geom, 2023 Lercher J +3 more
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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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Generalized Twistor Spaces for Hyperkahler and Quaternionic Kahler Manifolds [PDF]
, 2013 Generalized complex geometry is a newly emerging field that unites two areas of geometry, symplectic and complex, revealing surprising new aspects in both.
Glover, Rebecca
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Parallel Kahler submanifolds of Quaternionic Kahler Symmetric Spaces [PDF]
, 2005 The non totally geodesic parallel $2n$-dimensional Kahler submanifolds of the $n$-dimensional quaternionic projective space were classified by K. Tsukada.
STEFANO MARCHIAFAVA +5 more
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