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Construction of Pure Metrics on Almost Complex Metallic Manifolds

Year 2022, , 1017 - 1022, 01.06.2022

Sibel Turanlı

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

Abstract

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.

Keywords

Almost Complex Structure Metallic Structure Pure Metric

References

  • 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.

Year 2022, , 1017 - 1022, 01.06.2022

Sibel Turanlı

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

Abstract

References

  • 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.
There are 16 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Matematik / Mathematics
Authors

Sibel Turanlı 0000-0001-6747-6757

Publication Date June 1, 2022
Submission Date February 17, 2022
Acceptance Date March 28, 2022
Published in Issue Year 2022

Cite

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. June 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, no. 2 (June 2022): 1017-22. https://doi.org/10.21597/jist.1075238.
EndNote Turanlı S (June 1, 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., vol. 12, no. 2, pp. 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 (June 2022), 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, vol. 12, no. 2, 2022, pp. 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.