Bulletin of the Korean Mathematical Society (대한수학회보)

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H-V-SEMI-SLANT SUBMERSIONS FROM ALMOST QUATERNIONIC HERMITIAN MANIFOLDS

  • Park, Kwang-Soon (Sogang Research Team for Discrete and Geometric Structures, Sogang University)
  • Received : 2014.12.19
  • Published : 2016.03.31
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Abstract

We introduce the notions of h-v-semi-slant submersions and almost h-v-semi-slant submersions from almost quaternionic Hermitian manifolds onto Riemannian manifolds. We obtain characterizations, investigate the integrability of distributions, the geometry of foliations, and a decomposition theorem. We find a condition for such submersions to be totally geodesic. We also obtain an inequality of a h-v-semi-slant submersion in terms of squared mean curvature, scalar curvature, and h-v-semi-slant angle. Finally, we give examples of such maps.

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References

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