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A CONSTRUCTION METHOD OF LAGRANGIAN SURFACES IN COMPLEX PSEUDO-EUCLIDEAN PLANE C(1,2) AND ITS APPLICATIONS

Yıl 2014, Cilt: 7 Sayı: 1, 4 - 25, 30.04.2014
https://doi.org/10.36890/iejg.594488

Öz

 

Kaynakça

  • [1] Aiyama, R., Lagrangian surfaces in the complex 2-space, in: Proceedings of the Fifth Inter- national Workshop on Differential Geometry (Taegu, 2000), 25–29, Kyungpook Natl. Univ., Taegu, 2001.
  • [2] Aiyama, R., Totally real surfaces in the complex 2-space, in: Steps in Differential Geometry (Debrecen, 2000), 15–22, Debrecen, 2001.
  • [3] Castro, I. and Chen, B.-Y., Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves, Tohoku Math. J. 58 (2006) 565–579.
  • [4] Castro, I. and Lerma, A. M., A new construction of Lagrangians in the complex Euclidean plane in terms of planar curves, J. Geom. Phys. 75 (2014), 162–172.
  • [5] Chen, B.-Y., Complex extensors and Lagrangian submanifolds in complex Euclidean spaces, Tohoku Math. J. 49 (1997), 277–297.
  • [6] Chen, B.-Y., Interaction of Legendre curves and Lagrangian submanifolds, Israel J. Math. 99 (1997), 69–108.
  • [7] Chen, B.-Y., Representation of flat Lagrangian H-umbilical submanifolds in complex Eu- clidean spaces, Tohoku Math. J. 51 (1999), 13–20.
  • [8] Chen, B.-Y., Complex extensors and Lagrangian submanifolds in indefinite complex Eu- clidean spaces, Bull. Inst. Math. Acad. Sinica 31 (2003), 151–179.
  • [9] Chen, B.-Y., Lagrangian surfaces of constant curvature in complex Euclidean plane, Tohoku Math J. 56 (2004), 289–298.
  • [10] Chen, B.-Y., Classification of Lagrangian surfaces of constant curvature in complex Euclidean plane, Proc. Edinburgh Math. Soc. 48 (2005), 337–364.
  • [11] Chen, B.-Y., Maslovian Lagrangian surfaces of constant curvature in complex projective or complex hyperbolic planes, Math. Nachr. 278 (2005), 1242–1281.
  • [12] Chen, B.-Y., Classification of Lagrangian surfaces of constant curvature in complex complex projective planes, J. Geom. Phys. 53 (2005), 428–460.
  • [13] Chen, B.-Y., Classification of Lagrangian surfaces of constant curvature in complex hyperbolic planes, J. Geom. Phys. 55 (2005), 399–439.
  • [14] Chen, B.-Y., Three additional families of Lagrangian surfaces of constant curvature in com- plex projective plane, J. Geom. Phys. 56 (2006), 666–669.
  • [15] Chen, B.-Y., Construction of Lagrangian surfaces in complex Euclidean plane with Legendre curves, Kodai Math. J. 29 (2006), 84–112.
  • [16] Chen, B.-Y., Classification of Lagrangian surfaces of constant curvature in complex hyperbolic planes, II, Soochow J. Math. 33 (2007), 127–165.
  • [17] Chen, B.-Y., Pseudo-Riemannian Geometry, δ-invariants and Applications, World Scientific, Hackensack, NJ, 2011.
  • [18] Chen, B.-Y., Classification of spherical Lagrangian submanifolds in complex Euclidean spaces, Int. Electron. J. Geom. 6 (2013), no. 2, 1–8.
  • [19] Chen, B.-Y., Dillen, F., Verstraelen, L. and Vrancken, L., Lagrangian isometric immersions of a real-space-form Mn(c) into a complex-space-form M˜ n(4c), Math. Proc. Cambridge Phil. Soc. 124 (1998), 107–125.
  • [20] Chen, B.-Y. and Ogiue, K., On totally real submanifolds, Trans. Amer. Math. Soc. 193(1974), 257–266.
  • [21] Chen, B.-Y. and Vrancken,L., Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form, Tohoku Math. J. 54 (2002), 121–143.
  • [22] Joyce, D., Special Lagrangian m-folds in Cm with symmetries, Duke Math. J. 115 (2002), 1–51.
  • [23] Vrancken, L., Minimal Lagrangian submanifolds with constant sectional curvature in indefi- nite complex space forms, Proc. Amer. Math. Soc. 130 (2002), 1459–1466.
Yıl 2014, Cilt: 7 Sayı: 1, 4 - 25, 30.04.2014
https://doi.org/10.36890/iejg.594488

Öz

Kaynakça

  • [1] Aiyama, R., Lagrangian surfaces in the complex 2-space, in: Proceedings of the Fifth Inter- national Workshop on Differential Geometry (Taegu, 2000), 25–29, Kyungpook Natl. Univ., Taegu, 2001.
  • [2] Aiyama, R., Totally real surfaces in the complex 2-space, in: Steps in Differential Geometry (Debrecen, 2000), 15–22, Debrecen, 2001.
  • [3] Castro, I. and Chen, B.-Y., Lagrangian surfaces in complex Euclidean plane via spherical and hyperbolic curves, Tohoku Math. J. 58 (2006) 565–579.
  • [4] Castro, I. and Lerma, A. M., A new construction of Lagrangians in the complex Euclidean plane in terms of planar curves, J. Geom. Phys. 75 (2014), 162–172.
  • [5] Chen, B.-Y., Complex extensors and Lagrangian submanifolds in complex Euclidean spaces, Tohoku Math. J. 49 (1997), 277–297.
  • [6] Chen, B.-Y., Interaction of Legendre curves and Lagrangian submanifolds, Israel J. Math. 99 (1997), 69–108.
  • [7] Chen, B.-Y., Representation of flat Lagrangian H-umbilical submanifolds in complex Eu- clidean spaces, Tohoku Math. J. 51 (1999), 13–20.
  • [8] Chen, B.-Y., Complex extensors and Lagrangian submanifolds in indefinite complex Eu- clidean spaces, Bull. Inst. Math. Acad. Sinica 31 (2003), 151–179.
  • [9] Chen, B.-Y., Lagrangian surfaces of constant curvature in complex Euclidean plane, Tohoku Math J. 56 (2004), 289–298.
  • [10] Chen, B.-Y., Classification of Lagrangian surfaces of constant curvature in complex Euclidean plane, Proc. Edinburgh Math. Soc. 48 (2005), 337–364.
  • [11] Chen, B.-Y., Maslovian Lagrangian surfaces of constant curvature in complex projective or complex hyperbolic planes, Math. Nachr. 278 (2005), 1242–1281.
  • [12] Chen, B.-Y., Classification of Lagrangian surfaces of constant curvature in complex complex projective planes, J. Geom. Phys. 53 (2005), 428–460.
  • [13] Chen, B.-Y., Classification of Lagrangian surfaces of constant curvature in complex hyperbolic planes, J. Geom. Phys. 55 (2005), 399–439.
  • [14] Chen, B.-Y., Three additional families of Lagrangian surfaces of constant curvature in com- plex projective plane, J. Geom. Phys. 56 (2006), 666–669.
  • [15] Chen, B.-Y., Construction of Lagrangian surfaces in complex Euclidean plane with Legendre curves, Kodai Math. J. 29 (2006), 84–112.
  • [16] Chen, B.-Y., Classification of Lagrangian surfaces of constant curvature in complex hyperbolic planes, II, Soochow J. Math. 33 (2007), 127–165.
  • [17] Chen, B.-Y., Pseudo-Riemannian Geometry, δ-invariants and Applications, World Scientific, Hackensack, NJ, 2011.
  • [18] Chen, B.-Y., Classification of spherical Lagrangian submanifolds in complex Euclidean spaces, Int. Electron. J. Geom. 6 (2013), no. 2, 1–8.
  • [19] Chen, B.-Y., Dillen, F., Verstraelen, L. and Vrancken, L., Lagrangian isometric immersions of a real-space-form Mn(c) into a complex-space-form M˜ n(4c), Math. Proc. Cambridge Phil. Soc. 124 (1998), 107–125.
  • [20] Chen, B.-Y. and Ogiue, K., On totally real submanifolds, Trans. Amer. Math. Soc. 193(1974), 257–266.
  • [21] Chen, B.-Y. and Vrancken,L., Lagrangian minimal isometric immersions of a Lorentzian real space form into a Lorentzian complex space form, Tohoku Math. J. 54 (2002), 121–143.
  • [22] Joyce, D., Special Lagrangian m-folds in Cm with symmetries, Duke Math. J. 115 (2002), 1–51.
  • [23] Vrancken, L., Minimal Lagrangian submanifolds with constant sectional curvature in indefi- nite complex space forms, Proc. Amer. Math. Soc. 130 (2002), 1459–1466.
Toplam 23 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Bang-yen Chen

Yayımlanma Tarihi 30 Nisan 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 7 Sayı: 1

Kaynak Göster

APA Chen, B.-y. (2014). A CONSTRUCTION METHOD OF LAGRANGIAN SURFACES IN COMPLEX PSEUDO-EUCLIDEAN PLANE C(1,2) AND ITS APPLICATIONS. International Electronic Journal of Geometry, 7(1), 4-25. https://doi.org/10.36890/iejg.594488
AMA Chen By. A CONSTRUCTION METHOD OF LAGRANGIAN SURFACES IN COMPLEX PSEUDO-EUCLIDEAN PLANE C(1,2) AND ITS APPLICATIONS. Int. Electron. J. Geom. Nisan 2014;7(1):4-25. doi:10.36890/iejg.594488
Chicago Chen, Bang-yen. “A CONSTRUCTION METHOD OF LAGRANGIAN SURFACES IN COMPLEX PSEUDO-EUCLIDEAN PLANE C(1,2) AND ITS APPLICATIONS”. International Electronic Journal of Geometry 7, sy. 1 (Nisan 2014): 4-25. https://doi.org/10.36890/iejg.594488.
EndNote Chen B-y (01 Nisan 2014) A CONSTRUCTION METHOD OF LAGRANGIAN SURFACES IN COMPLEX PSEUDO-EUCLIDEAN PLANE C(1,2) AND ITS APPLICATIONS. International Electronic Journal of Geometry 7 1 4–25.
IEEE B.-y. Chen, “A CONSTRUCTION METHOD OF LAGRANGIAN SURFACES IN COMPLEX PSEUDO-EUCLIDEAN PLANE C(1,2) AND ITS APPLICATIONS”, Int. Electron. J. Geom., c. 7, sy. 1, ss. 4–25, 2014, doi: 10.36890/iejg.594488.
ISNAD Chen, Bang-yen. “A CONSTRUCTION METHOD OF LAGRANGIAN SURFACES IN COMPLEX PSEUDO-EUCLIDEAN PLANE C(1,2) AND ITS APPLICATIONS”. International Electronic Journal of Geometry 7/1 (Nisan 2014), 4-25. https://doi.org/10.36890/iejg.594488.
JAMA Chen B-y. A CONSTRUCTION METHOD OF LAGRANGIAN SURFACES IN COMPLEX PSEUDO-EUCLIDEAN PLANE C(1,2) AND ITS APPLICATIONS. Int. Electron. J. Geom. 2014;7:4–25.
MLA Chen, Bang-yen. “A CONSTRUCTION METHOD OF LAGRANGIAN SURFACES IN COMPLEX PSEUDO-EUCLIDEAN PLANE C(1,2) AND ITS APPLICATIONS”. International Electronic Journal of Geometry, c. 7, sy. 1, 2014, ss. 4-25, doi:10.36890/iejg.594488.
Vancouver Chen B-y. A CONSTRUCTION METHOD OF LAGRANGIAN SURFACES IN COMPLEX PSEUDO-EUCLIDEAN PLANE C(1,2) AND ITS APPLICATIONS. Int. Electron. J. Geom. 2014;7(1):4-25.