Journals / International Electronic Journal of Geometry / 2017 / Volume: 10 Issue: 2

Almost Ricci Solitons and Physical Applications

Pages
—
Publication Date
2017-10-29
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. (2017). Almost Ricci Solitons and Physical Applications. International Electronic Journal of Geometry, Volume: 10 Issue: 2. https://ajindex.com/articles/1411204

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (29)

  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.
  19. Maartens, R. and Maharaj, S. D., Conformal Killing vectors in Robertson-Walker spacetimes. Class. Quant. Grav., 3 (1986), 1005-1011.
  20. Maartens, R., Mason, D. P. and Tsamparlis, M., Kinematic and dynamic properties of conformal Killing vector fields in anisotropic fluids. J. Math. Phys., 27 (1986), 2987-2994.
  21. Onda, K., Lorentz Ricci Solitons on 3-dimensional Lie groups, Geom. Dedicata, 147(2010), 313-322.
  22. Petrov, A. Z., Einstein spaces. Pergamon Press, Oxford, 1969.
  23. Pigola, S., Rigoli, M., Rimoldi, M. and Setti, A., Ricci almost solitons. Ann. Scuola Norm. Sup. Pisa CI. Sci., 5 X (2011), 757-799.
  24. Sharma, R., Almost Ricci solitons and K-contact geometry. Montash Math., DOI 10.1007/s00605–014-0657-8, (2014).
  25. Wang, Y., Gradient Ricci almost solitons on two classes of almost Kenmotsu manifolds. J. Korean Math. Soc., 53 N0. 5 (2016), 1101-1114.
  26. Witten, E., String theory and black holes. Phys. Rev.,D(3) 44, no. 2 (1991), 314-324.
  27. Yano, K., Integral formulas in Riemannian geometry. Marcel Dekker, New York, 1970.
  28. 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.
  29. Witten, E., String theory and black holes. Phys. Rev.,D(3) 44, no. 2 (1991), 314-324.