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JP Journal of Geometry and Topology

JP Journal of Geometry and Topology
Volume 19, Issue 2, Pages 161 - 183 (May 2016)
http://dx.doi.org/10.17654/GT019020161

CONFORMAL ANTI-INVARIANT SUBMERSIONS FROM HYPERKAHLER MANIFOLDS

Dae Ho Jin and Jae Won Lee

Abstract:

We introduce conformal anti-invariant submersions from hyperkahler manifolds onto Riemannian manifolds, and survey main results. Moreover, we investigate the necessary and sufficient condition for a conformal anti-invariant submersion to be totally geodesic.

Keywords and phrases:

Riemannian submersion, anti-invariant submersion, conformal submersion, conformal anti-invariant submersion.

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