Communications of the Korean Mathematical Society (대한수학회논문집)
- Volume 13 Issue 4
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- Pages.817-823
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- 1998
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- 1225-1763(pISSN)
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- 2234-3024(eISSN)
CERTAIN INFINITESIMAL TRANSFORMATIONS ON QUATERNIONIC KAHLERIAN MANIFOLDS
- JIN SUK PAK (Department of Mathematics Kyungpook National University) ;
- DAE WON YOON (Department of Mathematics Kyungpook National University)
- Published : 1998.10.01
Abstract
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