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    On The Spectral Geometry For The Jacobi Operators Of Harmonic Maps Into Product Manifolds Of Quaternionic Projective Spaces
    Nihonkai mathematical journal (1999)
    Tae Ho KangTae Wan Kim
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    Keywords:
    Harmonic
    Topics:
    Algebraic and Geometric Analysis
    Geometric Analysis and Curvature Flows
    Advanced Differential Geometry Research
    Annals of Global Analysis and Geometry (1998)
    Piotr KobakBonaventure Loo
    Citations (9)
    Projective structures and $\rho$-connections
    arXiv (Cornell University) (2016)
    Radu Pantilie
    We extend T. Y. Thomas's approach to the projective structures, over the complex analytic category, by involving the $\rho$-connections. This way, a better control of the projective flatness is obtained and, consequently, we have, for example, the following application: if the twistor space of a quaternionic manifold $P$ is endowed with a complex projective structure then $P$ can be locally identified, through quaternionic diffeomorphisms, with the quaternionic projective space.
    Quaternionic projective space
    Twistor space
    Flatness (cosmology)
    Real projective space
    Manifold (fluid mechanics)
    Projective unitary group
    Pencil (optics)
    Citations (0)
    HARMONIC POLYNOMIAL MAPS BETWEEN SPHERES AND COMPLEX PROJECTIVE SPACES
    WORLD SCIENTIFIC eBooks (1989)
    Gábor Tóth
    Harmonic
    Citations (0)
    Harmonic morphisms from complex projective spaces
    Geometriae Dedicata (1994)
    Sigmundur Gudmundsson
    Morphism
    Harmonic
    Citations (38)
    Realizations of Rank One Symmetric Spaces of Compact Type
    Springer monographs in mathematics (2009)
    Valery V. VolchkovVitaly V. Volchkov
    Rank (graph theory)
    Citations (0)
    Affine and Projective Geometries
    Springer eBooks (1997)
    Boris Rosenfeld
    Complex space
    Linear form
    Citations (1)
    Maps to Spaces in the Genus of Infinite Quaternionic Projective Space
    Birkhäuser Basel eBooks (2003)
    Donald Yau
    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. These results strengthen the classical theorem of McGibbon and Rector on maximal torus admissibility for spaces in the genus of infinite quaternionic projective space. An interpretation of these results in the context of Adams-Wilkerson embedding in integral K -theory is also given.
    Real projective space
    Quaternionic projective space
    Citations (1)
    Harmonic morphisms from quaternionic projective spaces
    Geometriae Dedicata (1995)
    Sigmundur Gudmundsson
    Morphism
    Harmonic
    Citations (28)
    Non-existence of orthogonal coordinates on the complex and quaternionic projective spaces
    Journal of Geometry and Physics (2020)
    Paul GauduchonAndrei Moroianu
    Homogeneous coordinates
    Quaternionic projective space
    Manifold (fluid mechanics)
    Local coordinates
    Citations (1)
    THE HOMOTOPY CLASSIFICATION OF SELF-MAPS OF INFINITE QUATERNIONIC PROJECTIVE SPACE
    The Quarterly Journal of Mathematics (1987)
    Guido Mislin
    Journal Article THE HOMOTOPY CLASSIFICATION OF SELF-MAPS OF INFINITE QUATERNIONIC PROJECTIVE SPACE Get access GUIDO MISLIN GUIDO MISLIN Search for other works by this author on: Oxford Academic Google Scholar The Quarterly Journal of Mathematics, Volume 38, Issue 2, June 1987, Pages 245–257, https://doi.org/10.1093/qmath/38.2.245 Published: 01 June 1987 Article history Received: 06 May 1986 Published: 01 June 1987
    Citations (30)