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Yıl 2019, Cilt: 2 Sayı: 4, 331 - 334, 29.12.2019

Esra Çiçek Çetin Mehmet Bektaş

https://doi.org/10.33434/cams.643076

Öz

Kaynakça

  • [1] N. Kamran, P. Olver, K. Tenenblat, Local symplectic invariants for curves, Commun. Contemp. Math., 11(2) (2009), 165-183.
  • [2] F. Valiquette, Geometric affine symplectic curve flows in R4, Differ. Geom. Appl., 30(6) (2012), 631-641.
  • [3] S.S. Chern, H. C. Wang, Differential geometry in symplectic space. I, Sci. Rep. Nat. Tsing Hua Univ., 4 (1947), 453-477.
  • [4] J.C. Alvarez Paiva, C. E. Duran, Geometric invariants of fanning curves, Adv. Appl. Math., 42(3) (2009), 290-312.
  • [5] V. Deconchy, Hypersurfaces in symplectic affine geometry, Differ. Geom. Appl., 17(1) (2002), 1-13.
  • [6] E. Musso, L. Nicolodi, Symplectic applicability of Lagrangian surfaces, Sigma, 5 (2009), 067, 18 pages.
  • [7] E. Musso, E.G. Hubert, Lagrangian Curves in a 4-Dimensional Affine Symplectic Space, Acta Appl. Math., 134(1) (2014) 133-160.
  • [8] M. Fels, P. J. Olver, Moving coframes, I. A practic algorithm, Acta Appl. Math., 51 (1998), 161-213.
  • [9] M. Fels, P. J. Olver, Moving coframes, II. regularization and theoretical foundation, Acta Appl. Math., 55 (1999), 127-208. [10] M.A. Akgün, A. İ. Sivridağ, E. Kılıç, The characterizations of a Spacelike Curve in R^41_ , Konuralp J. Math., 4(2) (2016), 299-307.

Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space

Yıl 2019, Cilt: 2 Sayı: 4, 331 - 334, 29.12.2019

Esra Çiçek Çetin Mehmet Bektaş

https://doi.org/10.33434/cams.643076

Öz

It is well known that there exist characterizations for curve in Euclidean space.$\ $Also, a lot of authors extended this characterizations for Minkowski space and obtained very different results. In this paper, we introduce the geometric properties of Symplectic Curve in $% 4$-Dimensional Symplectic Space which given by \cite{7,10}. Later we obtained the conditions for Symplectic Curve to lie on some subspaces of $% 4$-Dimensional Symplectic Space and we give some characterizations and theorems for these curves.

Anahtar Kelimeler

Symplectic curve Symplectic space

Kaynakça

  • [1] N. Kamran, P. Olver, K. Tenenblat, Local symplectic invariants for curves, Commun. Contemp. Math., 11(2) (2009), 165-183.
  • [2] F. Valiquette, Geometric affine symplectic curve flows in R4, Differ. Geom. Appl., 30(6) (2012), 631-641.
  • [3] S.S. Chern, H. C. Wang, Differential geometry in symplectic space. I, Sci. Rep. Nat. Tsing Hua Univ., 4 (1947), 453-477.
  • [4] J.C. Alvarez Paiva, C. E. Duran, Geometric invariants of fanning curves, Adv. Appl. Math., 42(3) (2009), 290-312.
  • [5] V. Deconchy, Hypersurfaces in symplectic affine geometry, Differ. Geom. Appl., 17(1) (2002), 1-13.
  • [6] E. Musso, L. Nicolodi, Symplectic applicability of Lagrangian surfaces, Sigma, 5 (2009), 067, 18 pages.
  • [7] E. Musso, E.G. Hubert, Lagrangian Curves in a 4-Dimensional Affine Symplectic Space, Acta Appl. Math., 134(1) (2014) 133-160.
  • [8] M. Fels, P. J. Olver, Moving coframes, I. A practic algorithm, Acta Appl. Math., 51 (1998), 161-213.
  • [9] M. Fels, P. J. Olver, Moving coframes, II. regularization and theoretical foundation, Acta Appl. Math., 55 (1999), 127-208. [10] M.A. Akgün, A. İ. Sivridağ, E. Kılıç, The characterizations of a Spacelike Curve in R^41_ , Konuralp J. Math., 4(2) (2016), 299-307.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

Esra Çiçek Çetin Bu kişi benim 0000-0001-8213-0156

Mehmet Bektaş 0000-0002-5797-4944

Yayımlanma Tarihi 29 Aralık 2019
Gönderilme Tarihi 5 Kasım 2019
Kabul Tarihi 12 Aralık 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 2 Sayı: 4

Kaynak Göster

APA Çiçek Çetin, E., & Bektaş, M. (2019). Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space. Communications in Advanced Mathematical Sciences, 2(4), 331-334. https://doi.org/10.33434/cams.643076
AMA Çiçek Çetin E, Bektaş M. Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space. Communications in Advanced Mathematical Sciences. Aralık 2019;2(4):331-334. doi:10.33434/cams.643076
Chicago Çiçek Çetin, Esra, ve Mehmet Bektaş. “Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space”. Communications in Advanced Mathematical Sciences 2, sy. 4 (Aralık 2019): 331-34. https://doi.org/10.33434/cams.643076.
EndNote Çiçek Çetin E, Bektaş M (01 Aralık 2019) Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space. Communications in Advanced Mathematical Sciences 2 4 331–334.
IEEE E. Çiçek Çetin ve M. Bektaş, “Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space”, Communications in Advanced Mathematical Sciences, c. 2, sy. 4, ss. 331–334, 2019, doi: 10.33434/cams.643076.
ISNAD Çiçek Çetin, Esra - Bektaş, Mehmet. “Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space”. Communications in Advanced Mathematical Sciences 2/4 (Aralık 2019), 331-334. https://doi.org/10.33434/cams.643076.
JAMA Çiçek Çetin E, Bektaş M. Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space. Communications in Advanced Mathematical Sciences. 2019;2:331–334.
MLA Çiçek Çetin, Esra ve Mehmet Bektaş. “Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space”. Communications in Advanced Mathematical Sciences, c. 2, sy. 4, 2019, ss. 331-4, doi:10.33434/cams.643076.
Vancouver Çiçek Çetin E, Bektaş M. Some New Characterizations of Symplectic Curve in 4-Dimensional Symplectic Space. Communications in Advanced Mathematical Sciences. 2019;2(4):331-4.
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