Journals / International Electronic Journal of Geometry / 2017 / Cilt: 10 - Sayı: 2

Almost Ricci Solitons and Physical Applications

Pages
1–10
Publication Date
2022-10-18
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this paper, we establish a link between a “curvature inheritance symmetry" of a semi-Riemannian

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we establish a link between a “curvature inheritance symmetry" of a semi-Riemannian
📊
Key Findings & Data:In this paper, we establish a link between a “curvature inheritance symmetry" of a semi-Riemannian
💡
Conclusion & Impact:In this paper, we establish a link between a “curvature inheritance symmetry" of a semi-Riemannian
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ricci solitons · curvature symmetry · totally umbilical

Abstract

In this paper, we establish a link between a “curvature inheritance symmetry" of a semi-Riemannian

🔖

Cite This Article

DUGGAL, K. L. (2022). Almost Ricci Solitons and Physical Applications. International Electronic Journal of Geometry, Cilt: 10 - Sayı: 2, 1–10. https://ajindex.com/articles/539674

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (18)

  1. Adati, T. and Miyazawa, T., On Riemannian space with recurrent conformal curvature. Tensor (N. S.), 18 (1967), 348-354
  2. Barros, A., Batista, R. and Ribeiro, E. Jr., Compact almost solitons with constant scalar curvature are gradient. Monatsh. Math., 174 Issue 1 (2014), 29-39
  3. Alias L. J., Romero, A. and Sanchez, M., Uniqueness of complete spacelike of constant mean curvature in generalized Robertson-Walker spacetime. Gen. Rel. Grav., 27 (1995), 71–84
  4. Barros, A. and Riberiro, E. Jr., Some characterizations for compact almost Ricci solitons Proc. Amer. Math. Soc., 140 (2012), 1033-1040
  5. Brozos-Vazquez, M., Garcia-Rio, E. and Gavino-Fernandez, S., Locally conformally flat Lorentzian gradient Ricci solitons. J. Geom. Anal.,23 (2013), 1196-1212
  6. Chow, B. and Knopf, D., The Ricci flow: An Introduction. AMS, Providence, RI, USA, 2004
  7. Cao, H. D. Chow, B. Chu, S. C. and Yau, S. T(Editors)., Collected papers on Ricci Flow. Series in Geometry and Topology, Volume 37, International Press, Somervilla, Mass, USA, 2003
  8. Crasmareanu, M., Liouville and geodesic Ricci solitons. C. R. Acad. Sci. Paris, Ser., 347(2009), 1305-1308
  9. Derdzinski, A., Compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor, Lecture Notes in Math., Vol. 838, Springer-Verlag, Berlin and New York, 1981
  10. Duggal, K. L., Symmetry inheritance in Riemannian manifolds with applications. Acta. Appl. Math., 31 (1993), 225-247
  11. Duggal, K. L., A new class of almost Ricci solitons and their physical interpretation. International Scholarly Research Notes, Volume 2016, Article ID 4903520, 6 pages
  12. Duggal, K. L. and Sharma, R., Symmetries of Spacetimes and Riemannian Manifolds. Kluwer Academic Publishers, 487, 1999
  13. Grycak, W., On affine collineations in conformally recurrent manifolds. Tensor N. S., 35 (1981), 45-50
  14. Hall, G. S. and Da-Costa, J., Affine collineations in spacetimes. J. Math. Phys., 29 (1988), 2465-2472
  15. Hamilton, R., Three-manifolds with positive Ricci curvature. J. Diff. Geom., 17(1982), 155-306
  16. Katzin, G. H., Levine, J. and Davis, W. R., Curvature collineations. J. Math. Phys., 10 (1969), 617-621
  17. Katzin, G. H., Levine, J. and Davis, W. R., Curvature collineations in conformally flat spaces, I. Tensor N.S., 21 (1970), 51-61
  18. Levine, J and Katzin, G. H., Conformally flat spaces admitting special quadratic first integrals, 1. Symmetric spaces. Tensor N. S., 19 (1968), 317-328