Dergiler / International Electronic Journal of Geometry / 2016 / Volume: 9 Issue: 2

Structures on the Product of Two Almost Hermitian Almost Contact Manifolds

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Yayın Tarihi
2016-10-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The purpose of this paper is to define some classes of almost contact metric 3-structures manifolds

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Amaç & Hipotez:The purpose of this paper is to define some classes of almost contact metric 3-structures manifolds
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Temel Bulgular & Veri:The purpose of this paper is to define some classes of almost contact metric 3-structures manifolds
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Sonuç & Katkı:The purpose of this paper is to define some classes of almost contact metric 3-structures manifolds
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Almost Hermitian almost contact structure · almost contact metric manifolds with 3-structures · hyperkählerian structure

Abstract

The purpose of this paper is to define some classes of almost contact metric 3-structures manifolds

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Bu Makaleye Atıf Yap

Beldjilali, G., Belkhelfa, M. (2016). Structures on the Product of Two Almost Hermitian Almost Contact Manifolds. International Electronic Journal of Geometry, Volume: 9 Issue: 2. https://doi.org/10.36890/iejg.584602

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Kaynakça (18)

  1. Blair, D. E., Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics Vol. 203, Birhauser, Boston,2002. bibitemBGM Boyer, C. P., Galicki, K. and Mann, B. M., Quaternionic reduction and Einstein manifolds. Comm. Anal. Geom. 1(2), (1993) pp.229–279.
  2. Calabi, E., Métriques kählériennes et fibrés holomorphes. Ann. Scient. Ec. Norm.Sup. 12(1979), pp. 269-294.
  3. Caprusi, M., Some remarks on the product of two almost contact manifolds. Al. I. Cuza, XXX, (1984) pp. 75–79.
  4. Ishihara, S. and Konishi, M., Complex almost contact manifolds. Kodai Math. J. 3, (1980) pp.385–396.
  5. Kuo, Y., On almost contact 3-structures. Tohoku Math. J. (2) 22 (1970), 325–332.
  6. Oubi~na, J. A., A classification for almost contact structures. manuscript (1985).
  7. Satoh, H., Almost Hermitian structures on the tangent bundle. Procceedings of The Eleventh International Workshop on Differential.Geometry, Kyungpook Nat. Univ., Taegu, 11, (2007) pp.105–118.
  8. Sharauddin, A. and Husain, S. I., Almost contact structures induced by a confotmal transformation. Pub. Inst. Math. 32(46), (1982), pp. 155-159.
  9. Tahara, M. and Watanabe, Y., Natural almost Hermitian, Hermitian and Kähler metrics on the tangent bundles. Math. J. Toyama Univ. 20(1997), pp. 149–160.
  10. Tshikuna-Matamba, T., Quelques classes des variétés métriques à 3- structures presque de contact. Ann. Univ. Craiova, Math. Comp. Sci. Ser. 31(1) (2004), pp. 94-101.
  11. Tshikuna-Matamba, T., Induced structures on the product of Riemannian manifolds. Int. Electron. J. Geo. Vol 4, (2011),pp. 15-25.
  12. Watson, B., Riemannian submersions and non-linear gauge field equations of general relativity, in Global Analysis-Analysis in Manifolds, (T.M. Rassias ed.) Teubner-Texte Math, Vol. 57, Teubner, Leipzig, (1983), 324-349.
  13. Watanabe, Y., Almost Hermitian and Kähler structures on product manifolds. Proc. of the Thirteenth International Workshop on Diff. Geom. 13, (2009) 1-16.
  14. Watanabe, Y. and Hiroshi M., From Sasakian 3-structures to quaternionic geometry. Archivum Mathematicum, Vol. 34 (1998), No. 3, 379-386.
  15. Yano, K. and Kon, M., Structures on Manifolds. Series in Pure Math., Vol 3, World Sci.,1984.
  16. Blair, D. E., Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics Vol. 203, Birhauser, Boston,2002. bibitemBGM Boyer, C. P., Galicki, K. and Mann, B. M., Quaternionic reduction and Einstein manifolds. Comm. Anal. Geom. 1(2), (1993) pp.229–279.
  17. Caprusi, M., Some remarks on the product of two almost contact manifolds. Al. I. Cuza, XXX, (1984) pp. 75–79.
  18. Satoh, H., Almost Hermitian structures on the tangent bundle. Procceedings of The Eleventh International Workshop on Differential.Geometry, Kyungpook Nat. Univ., Taegu, 11, (2007) pp.105–118.