대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제36권1호
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  • Pages.173-187
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  • 2021
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ON THE V-SEMI-SLANT SUBMERSIONS FROM ALMOST HERMITIAN MANIFOLDS

  • 투고 : 2020.04.30
  • 심사 : 2020.08.03
  • 발행 : 2021.01.31
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초록

In this paper, we deal with the notion of a v-semi-slant submersion from an almost Hermitian manifold onto a Riemannian manifold. We investigate the integrability of distributions, the geometry of foliations, and a decomposition theorem. Given such a map with totally umbilical fibers, we have a condition for the fibers of the map to be minimal. We also obtain an inequality of a proper v-semi-slant submersion in terms of squared mean curvature, scalar curvature, and a v-semi-slant angle. Moreover, we give some examples of such maps and some open problems.

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참고문헌

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