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SEMI-PARALLEL TENSOR PRODUCT SURFACES IN SEMI-EUCLIDEAN SPACEE4

Yıl 2016, Cilt: 65 Sayı: 2, 133 - 142, 01.08.2016
https://doi.org/10.1501/Commua1_0000000765

Kaynakça

  • K. Arslan, B. Bulca, B. Kılıc, Y. H. Kim , C. Murathan and G. Ozturk, Tensor Product Surfaces with Pointwise 1-Type Gauss Map, Bull. Korean Math.Soc. 48 (2011), 601-609.
  • K. Arslan and C. Murathan, Tensor product surfaces of pseudo-Euclidean planar curves, Geometry and topology of submanifolds, VII (Leuven, 1994/Brussels, 1994) World Sci. Publ., River Edge, NJ (1995), 71-74.
  • B. Bulca and K. Arslan, Semiparallel tensor product surfaces in E4, Int. Electron. J. Geom., ,1,(2014), 36-43.
  • M. do Carmo, Riemannian geometry, Birkhauser, 1993.
  • B. Y. Chen, Geometry of Submanifolds, M. Dekker, New York 1973.
  • B. Y. Chen, Diğerential Geometry of semiring of immersions, I: General Theory Bull. Inst. Math. Acad. Sinica 21 (1993), 1-34.
  • F. Decruyenaere, F. Dillen, I. Mihai and L. Verstraelen, Tensor products of spherical and equivariant immersions Bull. Belg. Math. Soc.- Simon Stevin 1 (1994), 643-648.
  • F. Decruyenaere, F. Dillen, L. Verstraelen and L. Vrancken, The semiring of immersions of manifolds, Beitrage Algebra Geom. 34 (1993), 209-215.
  • J. Deprez, Semi- parallel Surfaces in Euclidean Space, J. Geom., 25 (1985), 192-200.
  • K. ·Ilarslan and E. Nesovic, Tensor product surfaces of a Lorentzian space curve and a Lorentzian plane curve, Bull. Inst. Math. Acad. Sinica 33 (2005), 151-171.
  • K. ·Ilarslan and E. Nesovic, Tensor product surfaces of a Euclidean space curve and a Lorentzian plane curve, Diğerential Geometry - Dynamical Systems 9 (2007),47-57.
  • I. Mihai, and B. Rouxel, Tensor Product Surfaces of Euclidean Plane Curves, Results in Mathematics, 27 (1995), no.3-4, 308-315.
  • I. Mihai, I. Van de Woestyne, L. Verstraelen and J. Walrave, Tensor product surfaces of a Lorentzian plane curve and a Euclidean plane curve. Rend. Sem. Mat. Messina Ser. II 3(18) (1994/95), 147–158.
  • B. O‘Neill, Semi - Riemannian Geometry, with applications to relavity, Academic Press. New York, (1983)
  • S. Özkaldı Karaku¸s and Y. Yayli, Bicomplex number and tensor product surfaces in R4, Ukrainian Math. J. 64 (2012), no. 3, 344–355.
  • S. Özkaldi and Y. Yayli, Tensor product surfaces in R4and Lie groups, Bull. Malays. Math. Sci. Soc. (2) 33 (2010), no. 1, 69–77.
  • Z. I., Szabo, Structure theorems on Riemannian spaces satisfying R(X; Y )R = 0, I. The local version, J. Diğerential Geometry, 17 (1982), 531-582.
  • Current address : M. Yıldırım: Kırıkkale University, Faculty of Sciences and Arts, Department of Mathematics, 71450 Kırıkkale/ Turkey
  • E-mail address : myildirim@kku.edu.tr Current address : K. ·Ilarslan: Kırıkkale University, Faculty of Sciences and Arts, Department of Mathematics, 71450 Kırıkkale/ Turkey
  • E-mail address : kilarslan@kku.edu.tr
Yıl 2016, Cilt: 65 Sayı: 2, 133 - 142, 01.08.2016
https://doi.org/10.1501/Commua1_0000000765

Kaynakça

  • K. Arslan, B. Bulca, B. Kılıc, Y. H. Kim , C. Murathan and G. Ozturk, Tensor Product Surfaces with Pointwise 1-Type Gauss Map, Bull. Korean Math.Soc. 48 (2011), 601-609.
  • K. Arslan and C. Murathan, Tensor product surfaces of pseudo-Euclidean planar curves, Geometry and topology of submanifolds, VII (Leuven, 1994/Brussels, 1994) World Sci. Publ., River Edge, NJ (1995), 71-74.
  • B. Bulca and K. Arslan, Semiparallel tensor product surfaces in E4, Int. Electron. J. Geom., ,1,(2014), 36-43.
  • M. do Carmo, Riemannian geometry, Birkhauser, 1993.
  • B. Y. Chen, Geometry of Submanifolds, M. Dekker, New York 1973.
  • B. Y. Chen, Diğerential Geometry of semiring of immersions, I: General Theory Bull. Inst. Math. Acad. Sinica 21 (1993), 1-34.
  • F. Decruyenaere, F. Dillen, I. Mihai and L. Verstraelen, Tensor products of spherical and equivariant immersions Bull. Belg. Math. Soc.- Simon Stevin 1 (1994), 643-648.
  • F. Decruyenaere, F. Dillen, L. Verstraelen and L. Vrancken, The semiring of immersions of manifolds, Beitrage Algebra Geom. 34 (1993), 209-215.
  • J. Deprez, Semi- parallel Surfaces in Euclidean Space, J. Geom., 25 (1985), 192-200.
  • K. ·Ilarslan and E. Nesovic, Tensor product surfaces of a Lorentzian space curve and a Lorentzian plane curve, Bull. Inst. Math. Acad. Sinica 33 (2005), 151-171.
  • K. ·Ilarslan and E. Nesovic, Tensor product surfaces of a Euclidean space curve and a Lorentzian plane curve, Diğerential Geometry - Dynamical Systems 9 (2007),47-57.
  • I. Mihai, and B. Rouxel, Tensor Product Surfaces of Euclidean Plane Curves, Results in Mathematics, 27 (1995), no.3-4, 308-315.
  • I. Mihai, I. Van de Woestyne, L. Verstraelen and J. Walrave, Tensor product surfaces of a Lorentzian plane curve and a Euclidean plane curve. Rend. Sem. Mat. Messina Ser. II 3(18) (1994/95), 147–158.
  • B. O‘Neill, Semi - Riemannian Geometry, with applications to relavity, Academic Press. New York, (1983)
  • S. Özkaldı Karaku¸s and Y. Yayli, Bicomplex number and tensor product surfaces in R4, Ukrainian Math. J. 64 (2012), no. 3, 344–355.
  • S. Özkaldi and Y. Yayli, Tensor product surfaces in R4and Lie groups, Bull. Malays. Math. Sci. Soc. (2) 33 (2010), no. 1, 69–77.
  • Z. I., Szabo, Structure theorems on Riemannian spaces satisfying R(X; Y )R = 0, I. The local version, J. Diğerential Geometry, 17 (1982), 531-582.
  • Current address : M. Yıldırım: Kırıkkale University, Faculty of Sciences and Arts, Department of Mathematics, 71450 Kırıkkale/ Turkey
  • E-mail address : myildirim@kku.edu.tr Current address : K. ·Ilarslan: Kırıkkale University, Faculty of Sciences and Arts, Department of Mathematics, 71450 Kırıkkale/ Turkey
  • E-mail address : kilarslan@kku.edu.tr
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Mehmet Yıldırım Bu kişi benim

Kazım Ilarslan Bu kişi benim

Yayımlanma Tarihi 1 Ağustos 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 65 Sayı: 2

Kaynak Göster

APA Yıldırım, M., & Ilarslan, K. (2016). SEMI-PARALLEL TENSOR PRODUCT SURFACES IN SEMI-EUCLIDEAN SPACEE4. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 65(2), 133-142. https://doi.org/10.1501/Commua1_0000000765
AMA Yıldırım M, Ilarslan K. SEMI-PARALLEL TENSOR PRODUCT SURFACES IN SEMI-EUCLIDEAN SPACEE4. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Ağustos 2016;65(2):133-142. doi:10.1501/Commua1_0000000765
Chicago Yıldırım, Mehmet, ve Kazım Ilarslan. “SEMI-PARALLEL TENSOR PRODUCT SURFACES IN SEMI-EUCLIDEAN SPACEE4”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65, sy. 2 (Ağustos 2016): 133-42. https://doi.org/10.1501/Commua1_0000000765.
EndNote Yıldırım M, Ilarslan K (01 Ağustos 2016) SEMI-PARALLEL TENSOR PRODUCT SURFACES IN SEMI-EUCLIDEAN SPACEE4. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 2 133–142.
IEEE M. Yıldırım ve K. Ilarslan, “SEMI-PARALLEL TENSOR PRODUCT SURFACES IN SEMI-EUCLIDEAN SPACEE4”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 65, sy. 2, ss. 133–142, 2016, doi: 10.1501/Commua1_0000000765.
ISNAD Yıldırım, Mehmet - Ilarslan, Kazım. “SEMI-PARALLEL TENSOR PRODUCT SURFACES IN SEMI-EUCLIDEAN SPACEE4”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65/2 (Ağustos 2016), 133-142. https://doi.org/10.1501/Commua1_0000000765.
JAMA Yıldırım M, Ilarslan K. SEMI-PARALLEL TENSOR PRODUCT SURFACES IN SEMI-EUCLIDEAN SPACEE4. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65:133–142.
MLA Yıldırım, Mehmet ve Kazım Ilarslan. “SEMI-PARALLEL TENSOR PRODUCT SURFACES IN SEMI-EUCLIDEAN SPACEE4”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 65, sy. 2, 2016, ss. 133-42, doi:10.1501/Commua1_0000000765.
Vancouver Yıldırım M, Ilarslan K. SEMI-PARALLEL TENSOR PRODUCT SURFACES IN SEMI-EUCLIDEAN SPACEE4. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65(2):133-42.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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