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Construction of Pure Metrics on Almost Complex Metallic Manifolds

Year 2022, Volume: 12 Issue: 2, 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, Volume: 12 Issue: 2, 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

Early Pub Date May 31, 2022
Publication Date June 1, 2022
Submission Date February 17, 2022
Acceptance Date March 28, 2022
Published in Issue Year 2022 Volume: 12 Issue: 2

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. J. Inst. Sci. and Tech. 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”, J. Inst. Sci. and Tech., 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. J. Inst. Sci. and Tech. 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. J. Inst. Sci. and Tech. 2022;12(2):1017-22.