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Research Article

Almost Kenmotsu Manifolds Admitting Certain Critical Metric

Pages 299-309 | Received 24 Mar 2022, Accepted 12 Apr 2022, Published online: 13 Nov 2022

References

  • A. Besse. Einstein manifolds, Springer-Verlag, New York, 2008.
  • D. E. Blair, Contact manifold in Riemannian Geometry. Lecture Notes on Mathematics, Springer, Berlin, 509(1976).
  • D. E. Blair, Riemannian Geometry on contact and symplectic manifolds, Progr. Math., Birkhäuser, Boston, 203(2010).
  • X. Dai, Y. Zhao and U. C. De, *-Ricci soliton on (k, µ)!-almost Kenmotsu manifolds, Open Math. 17(2019), 874-882. doi: 10.1515/math-2019-0056
  • U. C. De and D. Dey, Pseudo-symmetric structures on almost Kenmotsu manifolds with nullity distributions, Acta Comment. Univ. Tartu. Math. 23(2019), 13-24.
  • D. Dey and P. Majhi, *-Critical point equation on N (k)-contact manifolds, Bull. Transilv. Univ. Braov Ser. III 12(2019), 275-282.
  • D. Dey and P. Majhi, Almost Kenmotsu mentric as a conformal Ricci soliton, Conform. Geom. Dyn. 23(2019), 105-116. doi: 10.1090/ecgd/335
  • D. Dey and P. Majhi, On a class of almost Kenmotsu manifolds admitting an Einstein like structure, So Paulo J. Math. Sci. 15(2021), 335-343. doi: 10.1007/s40863-021-00228-1
  • G. Dileo and A. M. Pastore, Almost Kenmotsu manifolds and nullity distributions, J. Geom. 93(2009), 46-61. doi: 10.1007/s00022-009-1974-2
  • T. Hamada, Real hypersurfaces of complex space forms in terms of Ricci *-tensor, Tokyo J. Math. 25(2002), 473-483. doi: 10.3836/tjm/1244208866
  • G. Kaimakanois and K. Panagiotidou, *-Ricci solitons of real hypersurface in non-flat comlex space forms, J. Geom. Phys. 86(2014), 408-413. doi: 10.1016/j.geomphys.2014.09.004
  • P. Majhi and D. Dey, On *-conformal Ricci soliton on a class of almost Kenmotsu manifolds, Kyungpook Math. J. 61(2021), 781-790.
  • P. Miao and L. F. Tam, On the volume functional of compact manifolds with boundary with constant scalar curvature, Calc. Var. PDE. 36(2009), 141-171. doi: 10.1007/s00526-008-0221-2
  • D. S. Patra and A. Ghosh, Certain contact metrics satisfying the Miao-Tam critical condition, Ann. Polon. Math. 116(2016), 263-271.
  • A. M. Pastore and V. Saltarelli, Generalized nullity distribution on almost Kenmotsu manifolds, Int. Elec. J. Geom. 4(2011), 168-183.
  • S. Tachibana, On almost-analytic vectors in almost Kaehlerian manifolds, Tohoku Math. J. 11(1959), 247-265.
  • Y. Wang, An Einstein like metric on almost Kenmotsu manifolds, Filomat 31(2017), 4695–4702. doi: 10.2298/FIL1715695W
  • Y. Wang and X. Liu, Riemannian semi-symmetric almost Kenmotsu manifolds and nullity distributions, Ann. Polon. Math. 112(2014), 37-46. doi: 10.4064/ap112-1-3

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