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Semi-slant submersions

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초록

We introduce semi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds as a generalization of slant submersions, semi-invariant submersions, anti-invariant submersions, etc. We obtain characterizations, investigate the integrability of distributions and the geometry of foliations, etc. We also find a condition for such submersions to be harmonic. Moreover, we give lots of examples.

Abstract

We introduce semi-slant submersions from almost Hermitian manifolds onto Riemannian manifolds as a generalization of slant submersions, semi-invariant submersions, anti-invariant submersions, etc. We obtain characterizations, investigate the integrability of distributions and the geometry of foliations, etc. We also find a condition for such submersions to be harmonic. Moreover, we give lots of examples.

참고문헌 (21)

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  14. B. O’Neill, "The fundamental equations of a submersion", Michigan Math. J, 13, pp.458~469 (1966)
  15. 박광순, "H-slant submersions", 대한수학회보, 49(2), pp.329~338 (2012), 대한수학회
  16. K. S. Park, "H-semi-invariant submersions", Taiwan. J. Math, 16(5), pp.1865~1878 (2012)
  17. B. Sahin, "Slant submersions from almost Hermitian manifolds", Bull. Math. Soc. Sci. Math. Roumanie Tome, 54(1), pp.93~105 (2011)
  18. B. Sahin, "Semi-invariant submersions from almost Hermitian manifolds", Canad. Math. Bull, 56(1), pp.173~183 (2013)
  19. B. Sahin, "Anti-invariant Riemannian submersions from almost Hermitian manifolds", Cent. Eur. J. Math, 8(3), pp.437~447 (2010)
  20. B. Watson, "Almost Hermitian submersions", J. Differential Geom, 11(1), pp.147~165 (1976)
  21. B. Watson, "G,G′-Riemannian submersions and nonlinear gauge field equations of general relativity, In Global Analysis - Analysis on manifolds, dedicated M. Morse", Teubner-Texte Math, 57, pp.324~349 (1983)

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