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Journals / International Electronic Journal of Geometry / 2026 / Volume: 10 Issue: 1

The Fischer-Marsden Solutions on Almost CoKähler Manifold

Dhriti Sundar Patra
Arindam Bhattacharyya
Manjusha Tarafdar
Pages
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Publication Date
2017-04-30
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Patra, D. S., Bhattacharyya, A., Tarafdar, M. (2017). The Fischer-Marsden Solutions on Almost CoKähler Manifold. International Electronic Journal of Geometry, Volume: 10 Issue: 1. https://doi.org/10.36890/iejg.584436

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References (22)

  1. Besse, A., Einstein manifolds. Springer-Verlag, New York, 2008.
  2. Blair, D. E., Riemannian geometry of contact and symplectic manifolds. Birkhauser, Boston, 2002.
  3. Bourguignon, J. P., Une stratifcation de l’espace des structures riemanniennes. Compositio Math., 30 (1975), 1-41.
  4. Blair, D. E., Koufogiorgos, T. and Papantoniou, B. J., Contact metric manifolds satisfying a nullity condition. Israel J. of Math., 91 (1995), 189-214.
  5. Cernea, P. and Guan, D., Killing fields generated by multiple solutions to the Fischer-Marsden equation. International Journal of Math., 26(2015), 93-111.
  6. Corvino. J., Scalar curvature deformations and a gluing construction for the Einstein constraint equations. Commun. Math. Phys., 214(2000), 137-189.
  7. Fisher A. and Marsden. J., Manifolds of Riemannian metrics with prescribed scalar curvature. Bull. Am. Math. Soc., 80 (1974), 479-484.
  8. Kobayashi, O., A Differential Equation Arising From Scalar Curvature Function. J. Math. Soc. Japan, 34 (1982), 665-675.
  9. S. B. Myers: Connections between differential geometry and topology. Duke Math. J., 1 (1935), 376-391.
  10. Obata, O., Certain conditions for a Riemannian manifold to be isometric with a sphere. J. Math. Soc. Japan, 14 (1962), no. 3, 333-340.
  11. Olszak, Z., On contact metric manifolds. Tohoku Math. J., 31 (1979), 247-253.
  12. Shen, Y., A note on Fischer-Marsden’s conjecture. Proc. Am. Math. Soc., 125 (1997), 901-905.
  13. Tanno, S., The topology of contact Riemannian manifolds. Illinois J. Math., 12 (1968), 700-717.
  14. Patra, D. S. and Ghosh, A., Certain contact metrics satisfying Miao-Tam critical condition. Ann. Polon. Math., 116 (2016), no. 3, 263-271.
  15. Sharma, R., Certain results on K-contact and (k, µ)-contact manifolds. J. Geom., 89 (2008), no. (1-2), 138-147.
  16. Wang, Y., A Generalization of the Goldberg Conjecture for CoKa¨hler Manifolds. Mediterr. J. Math., 13 (2016), 2679-2690.
  17. Chinea, D., Le´on, M. de and Marrero, J. C., Topology of cosymplectic manifolds. J. Math. Pures Appl., 72 (1993), no. 6, 567-591.
  18. Marrero, J. C. and Padr´on, E., New examples of compact cosymplectic solvmanifolds. Arch. Math. (Brno), 34 (1998), no. 3, 337-345.
  19. Dacko, P. and Olszak, Z., On almost cosymplectic (k, µ, ν)-space. Banach Center Publ., 69 (2005), 211-220.
  20. Endo, H., Non-existence of almost cosymplectic manifolds satisfying a certain condition. Tensor (N. S.), 63 (2002), no. 3, 272-284.
  21. Gray, A., Spaces of contancy of curvature operators. Proc. Amer. Math. Soc. 17 (1966), 897-902.
  22. Patra, D. S. and Ghosh, A., Fischer-Marsden conjecture and contact geometry. comunicated.