Araştırma Makalesi
BibTex RIS Kaynak Göster

Construction of Pure Metrics on Almost Complex Metallic Manifolds

Yıl 2022, Cilt: 12 Sayı: 2, 1017 - 1022, 01.06.2022

Sibel Turanlı

https://doi.org/10.21597/jist.1075238

Öz

This paper aims to present a way of pure metrics construction on a pseudo-Riemannian manifold of neutral signature with respect to almost metallic structures and give some examples about these pure metrics.

Anahtar Kelimeler

Almost Complex Structure Metallic Structure Pure Metric

Kaynakça

  • Bonome A, Castro R, Hervella LM, MatsushitaY, 2005. Construction of Norden structures on neutral 4-manifolds. JP J. Geom. Topol.5 (2): 121-140.
  • De Spinadel VW, 1999. The Metallic Means Family and Multifractal Spectra. Nonlinear Anal. Ser. B: Real World Appl. 36 (6): 721-745.
  • De Spinadel VW, 1999. The Family of Metallic Means. Vis. Math. 1, 3. http//members.tripod.com/vismath1/spinadel/.
  • De Spinadel VW, 2000. The Metallic Means Family and Renormalization Group Techniques. Proc. Steklov Inst. Math. Control in Dynamic Systems, suppl. 1, 194-209.
  • De Spinadel VW, 2002. The Metallic Means Family and Forbidden Symmetries. Int. Math. J. 2 (3): 279-288.
  • Etayo F, Santamaria R, 2000. (J^2=±1)-Metric Manifolds. Publ. Math. Debrecen 57 (3-4): 435-444.
  • Ganchev GT, Borisov AV, 1986. Note on the Almost Complex Manifolds with a Norden Metric. C. R. Acad. Bulgarie Sci. 39 (5): 31-34.
  • Kruchkovich GI, 1972. Hypercomplex Structure on a Manifold. I, Tr. Sem. Vect. Tens. Anal. Moscow Univ. 16: 174-201.
  • Salimov AA, 1983. Almost Analyticity of a Riemannian Metric and Integrability of a Structure. Trudy Geom. Sem. Kazan. Univ. 15:72-78.
  • Salimov AA,Iscan M, 2010. Some Properties of Norden-Walker Metrics. Kodai Math. J. 33(2):283-293.
  • Salimov AA, Iscan M, Turanli S, 2011. Differential Geometry of Walker Manifolds. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 153(3): 264–271
  • Savas M, Ozkan M, Iscan M, 2016. On 4-Dimensional Golden-Walker Structures. Journal of Science and Arts, 16(2): 89.
  • Stakhov AP, 1977. Introduction into Algorithmic Measurement Theory. Moscow in Russian.
  • Tachibana S, 1960. Analytic Tensor and İts Generalization. Tohoku Math. J. 12 (2): 208-221.
  • Turanli S, Gezer A, Cakicioglu H, 2021. Metallic Kahler and Nearly Metallic Kahler Manifolds. Int. J. Geom. Methods Mod. Phys. 18 (9): 2150146.
  • Vishnevskii VV, 2002. Integrable Affinor Structures and Their Plural İnterpretations. J. of Math. Sciences, 108 (2): 151-187.

Yıl 2022, Cilt: 12 Sayı: 2, 1017 - 1022, 01.06.2022

Sibel Turanlı

https://doi.org/10.21597/jist.1075238

Öz

Kaynakça

  • Bonome A, Castro R, Hervella LM, MatsushitaY, 2005. Construction of Norden structures on neutral 4-manifolds. JP J. Geom. Topol.5 (2): 121-140.
  • De Spinadel VW, 1999. The Metallic Means Family and Multifractal Spectra. Nonlinear Anal. Ser. B: Real World Appl. 36 (6): 721-745.
  • De Spinadel VW, 1999. The Family of Metallic Means. Vis. Math. 1, 3. http//members.tripod.com/vismath1/spinadel/.
  • De Spinadel VW, 2000. The Metallic Means Family and Renormalization Group Techniques. Proc. Steklov Inst. Math. Control in Dynamic Systems, suppl. 1, 194-209.
  • De Spinadel VW, 2002. The Metallic Means Family and Forbidden Symmetries. Int. Math. J. 2 (3): 279-288.
  • Etayo F, Santamaria R, 2000. (J^2=±1)-Metric Manifolds. Publ. Math. Debrecen 57 (3-4): 435-444.
  • Ganchev GT, Borisov AV, 1986. Note on the Almost Complex Manifolds with a Norden Metric. C. R. Acad. Bulgarie Sci. 39 (5): 31-34.
  • Kruchkovich GI, 1972. Hypercomplex Structure on a Manifold. I, Tr. Sem. Vect. Tens. Anal. Moscow Univ. 16: 174-201.
  • Salimov AA, 1983. Almost Analyticity of a Riemannian Metric and Integrability of a Structure. Trudy Geom. Sem. Kazan. Univ. 15:72-78.
  • Salimov AA,Iscan M, 2010. Some Properties of Norden-Walker Metrics. Kodai Math. J. 33(2):283-293.
  • Salimov AA, Iscan M, Turanli S, 2011. Differential Geometry of Walker Manifolds. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki. 153(3): 264–271
  • Savas M, Ozkan M, Iscan M, 2016. On 4-Dimensional Golden-Walker Structures. Journal of Science and Arts, 16(2): 89.
  • Stakhov AP, 1977. Introduction into Algorithmic Measurement Theory. Moscow in Russian.
  • Tachibana S, 1960. Analytic Tensor and İts Generalization. Tohoku Math. J. 12 (2): 208-221.
  • Turanli S, Gezer A, Cakicioglu H, 2021. Metallic Kahler and Nearly Metallic Kahler Manifolds. Int. J. Geom. Methods Mod. Phys. 18 (9): 2150146.
  • Vishnevskii VV, 2002. Integrable Affinor Structures and Their Plural İnterpretations. J. of Math. Sciences, 108 (2): 151-187.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Araştırma Makalesi
Yazarlar

Sibel Turanlı 0000-0001-6747-6757

Gönderilme Tarihi 17 Şubat 2022
Kabul Tarihi 28 Mart 2022
Yayımlanma Tarihi 1 Haziran 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 12 Sayı: 2

Kaynak Göster

APA Turanlı, S. (2022). Construction of Pure Metrics on Almost Complex Metallic Manifolds. Journal of the Institute of Science and Technology, 12(2), 1017-1022. https://doi.org/10.21597/jist.1075238
AMA Turanlı S. Construction of Pure Metrics on Almost Complex Metallic Manifolds. Iğdır Üniv. Fen Bil Enst. Der. Haziran 2022;12(2):1017-1022. doi:10.21597/jist.1075238
Chicago Turanlı, Sibel. “Construction of Pure Metrics on Almost Complex Metallic Manifolds”. Journal of the Institute of Science and Technology 12, sy. 2 (Haziran 2022): 1017-22. https://doi.org/10.21597/jist.1075238.
EndNote Turanlı S (01 Haziran 2022) Construction of Pure Metrics on Almost Complex Metallic Manifolds. Journal of the Institute of Science and Technology 12 2 1017–1022.
IEEE S. Turanlı, “Construction of Pure Metrics on Almost Complex Metallic Manifolds”, Iğdır Üniv. Fen Bil Enst. Der., c. 12, sy. 2, ss. 1017–1022, 2022, doi: 10.21597/jist.1075238.
ISNAD Turanlı, Sibel. “Construction of Pure Metrics on Almost Complex Metallic Manifolds”. Journal of the Institute of Science and Technology 12/2 (Haziran2022), 1017-1022. https://doi.org/10.21597/jist.1075238.
JAMA Turanlı S. Construction of Pure Metrics on Almost Complex Metallic Manifolds. Iğdır Üniv. Fen Bil Enst. Der. 2022;12:1017–1022.
MLA Turanlı, Sibel. “Construction of Pure Metrics on Almost Complex Metallic Manifolds”. Journal of the Institute of Science and Technology, c. 12, sy. 2, 2022, ss. 1017-22, doi:10.21597/jist.1075238.
Vancouver Turanlı S. Construction of Pure Metrics on Almost Complex Metallic Manifolds. Iğdır Üniv. Fen Bil Enst. Der. 2022;12(2):1017-22.