Journals / Konuralp Journal of Mathematics / 2014 / Volume: 2 Issue: 2

FRAMED-COMPLEX SUBMERSIONS

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Publication Date
2014-12-01
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We also obtain curvature relations between the base manifoldand the total manifold

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Objective & Hypothesis:In this paper, we introduce the concept of framed-complex submersion from a framed metric manifold onto an almost Hermitian manifold.We investigate the influence of a given structure defined on the total manifold on the determination of the corresponding structure on the base manifold.
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Key Findings & Data:Moreover, we provide an example, investigate various properties of theO’Neill’s tensors for such submersions, find the integrability of the horizontaldistribution.
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Conclusion & Impact:We also obtain curvature relations between the base manifoldand the total manifold
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Abstract

In this paper, we introduce the concept of framed-complex submersion from a framed metric manifold onto an almost Hermitian manifold.We investigate the influence of a given structure defined on the total manifold on the determination of the corresponding structure on the base manifold. Moreover, we provide an example, investigate various properties of theO’Neill’s tensors for such submersions, find the integrability of the horizontaldistribution. We also obtain curvature relations between the base manifoldand the total manifold

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Cite This Article

Gündüzalp, Y. (2014). FRAMED-COMPLEX SUBMERSIONS. Konuralp Journal of Mathematics, Volume: 2 Issue: 2. https://ajindex.com/articles/1521959

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References (19)

  1. D.E. Blair, Geometry of manifolds with structural group U (n) × O(s), J. Differential Geom. 4(2)(1970), 155-167.
  2. D. Chinea, Almost contact metric submersions, Rend. Circ. Mat. Palermo, II Ser. 34 (1985), 89-104. [3] K.L. Duggal, S. Ianus, A.M. Pastore, Maps interchanging f-structures and their harmonicity, Acta Applicandae Mathematicae 67 (2001), 91-115.
  3. M. Falcitelli, S. Ianus, A.M. Pastore, Riemannian submersions and related topics, World Scientific, 2004.
  4. S.I. Goldberg, K. Yano, On normal globally framed f −manifolds, Tˆohoku Math. Journal 22 (1970), 362-370.
  5. S.I. Goldberg, K. Yano, Globally framed f −manifolds, Illinois Math. Journal 22 (1971), 456- 474.
  6. Y. G¨und¨uzalp, B. S.ahin, Paracontact semi-Riemannian submersions, Turkish J.Math. 37(1) (2013), 114-128.
  7. Y. G¨und¨uzalp, B. S.ahin, Para-contact para-complex semi-Riemannian submersions, Bull. Malays. Math. Sci. Soc. 37(1)(2014), 139-152.
  8. Y. G¨und¨uzalp, Slant submersions from almost product Riemannian manifolds, Turkish J.Math. 37(5) (2013), 863-873.
  9. Y. G¨und¨uzalp, Anti-Invariant Semi-Riemannian Submersions from Almost Para-Hermitian Manifolds, Journal of Function Spaces and Applications, ID 720623, 2013.
  10. A. Gray, Pseudo-Riemannian almost product manifolds and submersions, J. Math. Mech. 16 (1967), 715-737.
  11. S. Ianus, R. Mazzocco, G.E. Vilcu, Riemannian submersions from quaternionic manifolds, Acta Appl. Math. 104 (2008), 83-89.
  12. S. Ianus,S. Marchiafava,G.E. Vilcu,Para-quaternionic CR-submanifolds of para- quaternionic K¨ahler Manifols and semi-Riemannian submersions, Central European Journal of Mathematics 8, 4 (2010),735-753.
  13. S. Ianus, A.M. Ionescu, R. Mocanu, G.E. Vilcu, Riemannian submersions from almost contact metric Manifols, Abh. Math. Semin. Univ. Hamburg 81 (2011), 101-114.
  14. B. O’Neill, The fundamental equations of a submersion, Michigan Math. J. 13 (1966), 459- 469.
  15. L.D. Terlizzi, On invariant submanifolds of C-and S-manifolds, Acta Math. Hungar. 85(1999), 229-239. [17] J. Vanzura, Almost s-contact structures, Ann. Scuola Norm. Sup. Pisa Sci. Fis. Mat. 26(1972), 97-115. [18] G.E. Vilcu, 3-submersions from QR-hypersurfaces of quaternionic K¨ahler manifolds, Ann. Polon. Math. 98 (2010), 301-309.
  16. B. Watson, Almost Hermitian submersions, J. Differential Geom. 11(1976), 147-165.
  17. K. Yano, M. Kon, Structures on manifolds, World Scientific, 1984.
  18. K. Yano, On a structure defined by a tensor field f satisfying f3+ f = 0, Tensor 14 (1963), 99-109. Department of Mathematics, Dicle University, 21280, Diyarbakır-Turkey
  19. E-mail address: [email protected]