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ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 1998; 13(4): 817-823

Printed December 1, 1998

Copyright © The Korean Mathematical Society.

Certain Infinitesimal Transformations on Quaternionic Kahlerian Manifolds

Jin Suk Pak, Dae Won Yoon

Kyungpook National University, Kyungpook National University

Abstract

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In the present paper, we study conformal and projective Killing vector fields and infinitesimal $Q$-transformations on a quaternionic Kahlerian manifold, and prove that an infinitesimal conformal or projective automorphism in a compact quaternionic Kahlerian manifold is necessarily infinitesimal automorphism.

Keywords: affine, projective and conformal Killing vectors, quaternionic Kahlerian manifold, infinitesimal transformation

MSC numbers: 53C25

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