A New Class of Golden Riemannian Manifold

Gherici Beldjilali

doi:10.36890/iejg.690479

Research Article

Year 2020, Volume: 13 Issue: 1, 1 - 8, 30.01.2020

Gherici Beldjilali

https://doi.org/10.36890/iejg.690479

Cited By: 6

Abstract

References

[1] Beldjilali, G.: Induced Structures on Golden Riemannian Manifolds. Beitr Algebra Geom. 59 (4), 761-777 (2018).
[2] Beldjilali, G.: s-Golden manifolds, Mediterr. J. Math. (2019). https://doi.org/10.1007/s00009-019-1343-9.
[3] Blair, D. E.: Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics, Vol. 203, Birhauser, Boston, (2002).
[4] Boyer, C.P., Galicki, K., Matzeu, P.: On Eta-Einstein Sasakian Geometry. Comm.Math. Phys. 262, 177-208 (2006).
[5] Crasmareanu, M., Hretecanu C.E.: Golden differential geometry. Chaos, Solitons & Fractals. 38, 1124-1146 (2008).
[6] Etayo, F., Santamaria R., Upadhyay, A.: On the Geometry of Almost Golden Riemannian Manifolds, Mediterr. J. Math. 14,14-187 (2017). doi 10.1007/s00009-017-0991-x.
[7] Gezer, A., Cengiz N., Salimov, A.: On integrability of Golden Riemannian structures. Turkish J.Math. 37, 693-703 (2013).
[8] Gezer, A., Karaman, C.: Golden-Hessian Structures. Proc. Nat. Acad. Sci. 86, 41-46 (2016).
[9] Hretcanu, C. E.: Submanifolds in Riemannian manifold with Golden structure. In: Workshop on Finsler Geometry and its Applications, Hungary (2007).
[10] Ozkan, M., Yilmaz, F.: Prolongation of Golden structures to tangent bundles of order r. Commun. Fac. Sci. Univ. Ank. Sér. A1 Math. Stat. Volume 65 (1), 35-47 (2016).
[11] Sahin, B., Akyol, M. A.: Golden maps between Golden Riemannian manifolds and constancy of certain maps. Math. Commun. 19, 333-342 (2014).
[12] Yano, K., Kon, M.: Structures on Manifolds. Series in Pure Math., Vol 3, World Sci., (1984).

A New Class of Golden Riemannian Manifold

Year 2020, Volume: 13 Issue: 1, 1 - 8, 30.01.2020

Gherici Beldjilali

https://doi.org/10.36890/iejg.690479

Cited By: 6

Abstract

In this paper, we introduce a new class of almost Golden Riemannian structures and study their essential examples as well as their fundamental properties. Next, we investigate a particular type belonging to this class and we establish some basic results for Riemannian curvature tensor and the sectional curvature. Concrete examples are given.

Keywords

Almost contact metric structure , almost Golden structure , Golden sectional curvature

References

[1] Beldjilali, G.: Induced Structures on Golden Riemannian Manifolds. Beitr Algebra Geom. 59 (4), 761-777 (2018).
[2] Beldjilali, G.: s-Golden manifolds, Mediterr. J. Math. (2019). https://doi.org/10.1007/s00009-019-1343-9.
[3] Blair, D. E.: Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics, Vol. 203, Birhauser, Boston, (2002).
[4] Boyer, C.P., Galicki, K., Matzeu, P.: On Eta-Einstein Sasakian Geometry. Comm.Math. Phys. 262, 177-208 (2006).
[5] Crasmareanu, M., Hretecanu C.E.: Golden differential geometry. Chaos, Solitons & Fractals. 38, 1124-1146 (2008).
[6] Etayo, F., Santamaria R., Upadhyay, A.: On the Geometry of Almost Golden Riemannian Manifolds, Mediterr. J. Math. 14,14-187 (2017). doi 10.1007/s00009-017-0991-x.
[7] Gezer, A., Cengiz N., Salimov, A.: On integrability of Golden Riemannian structures. Turkish J.Math. 37, 693-703 (2013).
[8] Gezer, A., Karaman, C.: Golden-Hessian Structures. Proc. Nat. Acad. Sci. 86, 41-46 (2016).
[9] Hretcanu, C. E.: Submanifolds in Riemannian manifold with Golden structure. In: Workshop on Finsler Geometry and its Applications, Hungary (2007).
[10] Ozkan, M., Yilmaz, F.: Prolongation of Golden structures to tangent bundles of order r. Commun. Fac. Sci. Univ. Ank. Sér. A1 Math. Stat. Volume 65 (1), 35-47 (2016).
[11] Sahin, B., Akyol, M. A.: Golden maps between Golden Riemannian manifolds and constancy of certain maps. Math. Commun. 19, 333-342 (2014).
[12] Yano, K., Kon, M.: Structures on Manifolds. Series in Pure Math., Vol 3, World Sci., (1984).

There are 12 citations in total.

Details

Primary Language	English
Subjects	Mathematical Sciences
Journal Section	Research Article
Authors	Gherici Beldjilali This is me
Publication Date	January 30, 2020
Published in Issue	Year 2020 Volume: 13 Issue: 1

Cite

APA	Beldjilali, G. (2020). A New Class of Golden Riemannian Manifold. International Electronic Journal of Geometry, 13(1), 1-8. https://doi.org/10.36890/iejg.690479
AMA	Beldjilali G. A New Class of Golden Riemannian Manifold. Int. Electron. J. Geom. January 2020;13(1):1-8. doi:10.36890/iejg.690479
Chicago	Beldjilali, Gherici. “A New Class of Golden Riemannian Manifold”. International Electronic Journal of Geometry 13, no. 1 (January 2020): 1-8. https://doi.org/10.36890/iejg.690479.
EndNote	Beldjilali G (January 1, 2020) A New Class of Golden Riemannian Manifold. International Electronic Journal of Geometry 13 1 1–8.
IEEE	G. Beldjilali, “A New Class of Golden Riemannian Manifold”, Int. Electron. J. Geom., vol. 13, no. 1, pp. 1–8, 2020, doi: 10.36890/iejg.690479.
ISNAD	Beldjilali, Gherici. “A New Class of Golden Riemannian Manifold”. International Electronic Journal of Geometry 13/1 (January2020), 1-8. https://doi.org/10.36890/iejg.690479.
JAMA	Beldjilali G. A New Class of Golden Riemannian Manifold. Int. Electron. J. Geom. 2020;13:1–8.
MLA	Beldjilali, Gherici. “A New Class of Golden Riemannian Manifold”. International Electronic Journal of Geometry, vol. 13, no. 1, 2020, pp. 1-8, doi:10.36890/iejg.690479.
Vancouver	Beldjilali G. A New Class of Golden Riemannian Manifold. Int. Electron. J. Geom. 2020;13(1):1-8.