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Dergiler / International Electronic Journal of Geometry / 2019 / Volume: 12 Issue: 2

Classification of Flat Lagrangian H-umbilical Submanifolds in Indefinite Complex Euclidean spaces

Shangrong Deng(Kennesaw State University, Georgia, USA)0000-0001-7129-1691
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Yayın Tarihi
2019-10-03
DOI
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In this article, we completely characterize flat Lagrangian H-umbilical submanifolds in the

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Amaç & Hipotez:In this article, we completely characterize flat Lagrangian H-umbilical submanifolds in the
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Temel Bulgular & Veri:In this article, we completely characterize flat Lagrangian H-umbilical submanifolds in the
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Sonuç & Katkı:In this article, we completely characterize flat Lagrangian H-umbilical submanifolds in the
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:H-umbilical submanifolds · Lagrangian submanifolds

Abstract

In this article, we completely characterize flat Lagrangian H-umbilical submanifolds in the

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Bu Makaleye Atıf Yap

Deng, S. (2019). Classification of Flat Lagrangian H-umbilical Submanifolds in Indefinite Complex Euclidean spaces. International Electronic Journal of Geometry, Volume: 12 Issue: 2. https://ajindex.com/articles/1411161

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Kaynakça (13)

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  2. Chen, B.-Y., Interaction of Legendre curves and Lagrangian submanifolds, Israel J. Math. 99 (1997), 69–108.
  3. Chen, B.-Y., Complex extensors and Lagrangian submanifolds in complex Euclidean spaces, Tohoku Math. J. 49 (1997), 277–297.
  4. Chen, B.-Y., Representation of flat Lagrangian H-umbilical submanifolds in complex Euclidean spaces, Tohoku Math. J. 51 (1999), 13–20.
  5. Chen, B.-Y., Complex extensors and Lagrangian submanifolds in indefinite complex Euclidean spaces, Bulletin Math. Inst. AcademiaSinica 31 (2003), 151-179.
  6. Chen, B.-Y., Pseudo-Riemannian geometry, -invariants and applications, (World Scientific Publications, Hackensack, New Jersey, 2011).
  7. Chen, B.-Y., A construction method of Lagrangian surfaces in complex pseudo Euclidean plane C21 and its applications, Int. Electron. J. Geom. 7 (2014), 4-25.
  8. Chen, B.-Y. and Fastenakels, J., Classification of flat Lagrangianl surfaces in complex Lorentzian plane, Acta Mathematica Sinica, 23, No.12(2007), 2111-2144.
  9. Deng, S., Lagrangian H-umbilical surfaces in complex Lorentzian plane, Int. Electron. J. Geom. 9, No. 2 (2016), 87-93.
  10. Deng, S., Classification of Lagrangian H-umbilical surfaces of constant curvature in complex Lorentzian plane, Int. Electron. J. Geom. 10,No. 1 (2017), 48-57.
  11. B. O’Neill, Semi-Riemannian geometry with applications to relativity, (Academic Press, New York, 1983).
  12. R. Ponge and H. Reckziegel, Twisted products in pseudo-Riemannian geometry, Geometriae Dedicata 48, (1993), 15-25.
  13. K. Yano and M. Kon, Structures on manifolds, (World Scientific Publishing Co., Singapore, 1984).