• Title, Summary, Keyword: almost Kahlerian manifold

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QUATERNIONICALLY PROJECTIVE CORRESPONDENCE ON AN ALMOST QUATERNIONIC STRUCTURE

  • Ki, U-Hang;Pak, Jin-Suk;Yoon, Dae-Won
    • Journal of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.855-867
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    • 1998
  • In the present paper, we introduce the notions of quaternionically planar curves and quaternionically projective transformations to the case of almost quaternionic manifold with symmetric affine connection. Also, we obtain an invariant tensor field under the quaternionically projective transformation, and show that a quaternionic Kahlerian manifold with such a vanishing tensor field is of constant Q-sectional curvature.

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