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Year 2017, Volume: 5 Issue: 2, 129 - 137, 31.10.2017

Semail Ülgen

https://doi.org/10.20290/aubtdb.305404

Abstract

References

  • Citation1 Bao D, Robles C. On Ricci curvature and flag curvature in Finsler geometry. In: “A Sampler of Finsler Geometry” MSRI series, Cambridge University Press, 2004.
  • Citation2 Cheng X, Shen Z, Tian Y. A class of Einstein (α, β)-metrics. Israel J of Math 2012; 192(1): 221-249.
  • Citation3 Cheng X, Tian Y. Ricci-flat Douglas (α, β)-metrics. Differ. Geom. Appl. 2012; 30(1): 20-32.
  • Citation4 Cheng X, Shen Z. Einstein Finsler Metrics and Killing vector fields on Riemannian Manifolds. Science China Mathematics 2016; 1-16.
  • Citation5 Sevim ES, Shen Z, Zhao L. Some Ricci-flat Finsler metrics. Publ. Math. Debrecen 2013; 83(4): 617-623.
  • Citation6 Li B, Shen Y, Shen, Z. On a class of Douglas metrics. Studia Sci. Math. Hungar. 2009; 46(3): 355-365.

EXISTENCE OF SOME RICCI-FLAT FINSLER METRICS

Year 2017, Volume: 5 Issue: 2, 129 - 137, 31.10.2017

Semail Ülgen

https://doi.org/10.20290/aubtdb.305404

Abstract

In this paper, we show the existence of some Ricci-flat
Finsler metrics defined by a Riemannian metric and 1-form

Keywords

(α β)-metrics Einstein metrics

References

  • Citation1 Bao D, Robles C. On Ricci curvature and flag curvature in Finsler geometry. In: “A Sampler of Finsler Geometry” MSRI series, Cambridge University Press, 2004.
  • Citation2 Cheng X, Shen Z, Tian Y. A class of Einstein (α, β)-metrics. Israel J of Math 2012; 192(1): 221-249.
  • Citation3 Cheng X, Tian Y. Ricci-flat Douglas (α, β)-metrics. Differ. Geom. Appl. 2012; 30(1): 20-32.
  • Citation4 Cheng X, Shen Z. Einstein Finsler Metrics and Killing vector fields on Riemannian Manifolds. Science China Mathematics 2016; 1-16.
  • Citation5 Sevim ES, Shen Z, Zhao L. Some Ricci-flat Finsler metrics. Publ. Math. Debrecen 2013; 83(4): 617-623.
  • Citation6 Li B, Shen Y, Shen, Z. On a class of Douglas metrics. Studia Sci. Math. Hungar. 2009; 46(3): 355-365.
There are 6 citations in total.

Details

Journal Section Articles
Authors

Semail Ülgen 0000-0003-1381-1577

Publication Date October 31, 2017
Published in Issue Year 2017 Volume: 5 Issue: 2

Cite

APA Ülgen, S. (2017). EXISTENCE OF SOME RICCI-FLAT FINSLER METRICS. Anadolu University Journal of Science and Technology B - Theoretical Sciences, 5(2), 129-137. https://doi.org/10.20290/aubtdb.305404
AMA Ülgen S. EXISTENCE OF SOME RICCI-FLAT FINSLER METRICS. AUBTD-B. October 2017;5(2):129-137. doi:10.20290/aubtdb.305404
Chicago Ülgen, Semail. “EXISTENCE OF SOME RICCI-FLAT FINSLER METRICS”. Anadolu University Journal of Science and Technology B - Theoretical Sciences 5, no. 2 (October 2017): 129-37. https://doi.org/10.20290/aubtdb.305404.
EndNote Ülgen S (October 1, 2017) EXISTENCE OF SOME RICCI-FLAT FINSLER METRICS. Anadolu University Journal of Science and Technology B - Theoretical Sciences 5 2 129–137.
IEEE S. Ülgen, “EXISTENCE OF SOME RICCI-FLAT FINSLER METRICS”, AUBTD-B, vol. 5, no. 2, pp. 129–137, 2017, doi: 10.20290/aubtdb.305404.
ISNAD Ülgen, Semail. “EXISTENCE OF SOME RICCI-FLAT FINSLER METRICS”. Anadolu University Journal of Science and Technology B - Theoretical Sciences 5/2 (October 2017), 129-137. https://doi.org/10.20290/aubtdb.305404.
JAMA Ülgen S. EXISTENCE OF SOME RICCI-FLAT FINSLER METRICS. AUBTD-B. 2017;5:129–137.
MLA Ülgen, Semail. “EXISTENCE OF SOME RICCI-FLAT FINSLER METRICS”. Anadolu University Journal of Science and Technology B - Theoretical Sciences, vol. 5, no. 2, 2017, pp. 129-37, doi:10.20290/aubtdb.305404.
Vancouver Ülgen S. EXISTENCE OF SOME RICCI-FLAT FINSLER METRICS. AUBTD-B. 2017;5(2):129-37.
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