Dergiler / International Electronic Journal of Geometry / 2021 / Cilt: 14 - Sayı: 1

The Deformation of an ( ; )-Metric

Sayfa
167–173
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We will investigate the deformation of this metric, and we will investigate itsproperties.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we will continue our investigation on the new recently introduced (; )-metricF = + a2+2 in [12]; where is a Riemannian metric; is a 1-form, and a 2􀀀14 ;+1is a realpositive scalar.
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Temel Bulgular & Veri:In this paper, we will continue our investigation on the new recently introduced (; )-metricF = + a2+2 in [12]; where is a Riemannian metric; is a 1-form, and a 2􀀀14 ;+1is a realpositive scalar.
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Sonuç & Katkı:We will investigate the deformation of this metric, and we will investigate itsproperties.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

In this paper, we will continue our investigation on the new recently introduced (; )-metricF = + a2+2 in [12]; where is a Riemannian metric; is a 1-form, and a 2􀀀14 ;+1is a realpositive scalar. We will investigate the deformation of this metric, and we will investigate itsproperties.

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Bu Makaleye Atıf Yap

LAURIAN-IOAN, P., NAJAFI, B., LIN, B. C., TABATABAEIFAR, T. (2022). The Deformation of an ( ; )-Metric. International Electronic Journal of Geometry, Cilt: 14 - Sayı: 1, 167–173. https://ajindex.com/articles/539575

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Kaynakça (18)

  1. Amari S.I. and Nagaoka H.: Method of Information Geometry. AMS translation of Math., Monograph., Oxford Univ. Press, (2000)
  2. Buc˘ataru I.: Nonholonomic frames for Finsler spaces with (; )-metrics. Proceedings of the conference on Finsler and Lagrange geometries, Ia¸si, August 2001, Kluwer Acad. Publ. pp.69-78, (2003)
  3. Cheng X., Shen Z. and Zhou Y.: On a class of locally dually flat Finsler metrics. International J. Math. 21(11), pp. 1-13 (2010)
  4. Cheng X. and Tian Y.: Locally dually flat Finsler metrics with special curvature properties. Differential Geometry and its Applications. 29(1), Pages S98-S106 (2011)
  5. Crasmareanu M.: Lagrange spaces with indicatrices as constant mean curvature surfaces or minimal surfaces. An. ¸St. Univ. Ovidius Constan¸ta. 10(1), 63-72 (2002)
  6. Constantinescu O. and Crasmareanu M.: Examples of connics arrising in Finsler and Lagrangian geometries. Anal. Stiint. ale Univ. Ovidius Constan¸ta. 17(2), pp. 45-60 (2009)
  7. Matsumoto M.: Foundations of Finsler Geometry and Special Finsler Spaces. Kaiseisha Press, Otsu, (1986)
  8. Miron R.: Finsler- Lagrange spaces with (; )-metrics and Ingarden spaces. Reports on Mathematical Physics. 58 (1), pp. 417-431 (2006)
  9. Miron R.: Variational problem in Finsler spaces with (; )-metrics. Algebras, Groups and Geometries, Hadronic Press. Vol. 20, pp. 285-300 (2003)
  10. Miron R. and Tavakol R.: Geometry of Space-Time and Generalized-Lagrange Spaces. Publicationes Mathematicae. 44 (1-2), pp.167-174 (1994)
  11. Nicolaescu B.: The variational problem in Lagrange spaces endowed with (; )-metrics. Proceedings of the 3-rd international colloquium "Mathematics and numerical physics", pp.202-207, (2004)
  12. Pi¸scoran L.I. and Mishra V.N.: Projectivelly flatness of a new class of (; )-metrics. Georgian Mathematical Journal. 26 (1), 133-139 (2019)
  13. Pi¸scoran L.I. and Mishra V.N.: S-curvature for a new class of (; )-metrics. RACSAM. doi:10.1007/s13398-016-0358-3, (2017)
  14. Shen Z.: Finsler geometry with applications to information geometry. Chin. Ann. Math. 27(81), pp.73-94 (2006)
  15. Chen S.S. and Shen Z.: Riemann-Finsler geometry. Singapore: World Scientific, (2005)
  16. Shen Z.: On projectively flat (; )-metrics. Can. Math. Bull. 52(1), pp. 132-144 (2009)
  17. Shimada H. and Sab˘au S.: Remarkable classes of (; )-metric space. Rep. Math. Phys. 47, pp. 31-48 (2001)
  18. Vacaru S.I.: Finsler and Lagrange geometries in Einstein and string gravity. Int. J. G