과제정보
The authors are thankful to the referees for their valuable suggestions for improvement of the article. The first author is thankful to GGSIP University for research fellowship F.No. GGSIPU/DRC/2021/685.
참고문헌
- D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Birkhauser, Boston(2010).
- D. E. Blair, T. Koufogiorgos and B. J. Papantoniou, Contact metric manifolds satisfying a nullity distribution, Israel J. Math., 91(1995), 189-214. https://doi.org/10.1007/BF02761646
- E. Boeckx, A full classification of contact metric (κ, µ)-spaces, Illinois J. Math., 44(1)(2000), 212-219. https://doi.org/10.1215/ijm/1255984960
- B. Cappelletti-Montano, A. D. Nicola and I. Yudin, A survey on cosymplectic geometry, Rev. Math. Phys. 25(10)(2013), 55 pp.
- A. Carriazo and V. Martin-Molina, Generalized (κ, µ)-space forms and Da-homothetic deformations, Balkan J. Geom. Appl., 16(1)(2011), 37-47.
- B. Y. Chen, Rectifying submanifolds of Riemannian manifolds and torqued vector fields, Kragujevac J. Math., 41(1)(2017), 93-103. https://doi.org/10.5937/KgJMath1701093C
- X. Chen, Einstein-Weyl structures on almost cosymplectic manifolds, Period. Math. Hungar., 79(2)(2019), 191-203. https://doi.org/10.1007/s10998-018-00279-6
- J. T. Cho and M. Kimura, Ricci solitons and real hypersurfaces in a complex space form, Tohoku Math. J., 61(2009), 205-212. https://doi.org/10.2748/tmj/1245849443
- X. Dai, Non-existence of *-Ricci solitons on (κ, µ)-almost cosymplectic manifolds, J. Geom., 110(2)(2019), 7 pp. https://doi.org/10.1007/s00022-018-0462-y
- U. C. De and A. Sardar, Classification of (κ, µ)-almost co-Kahler manifolds with vanishing Bach tensor and divergence free Cotton tensor, Commum. Korean Math. Soc., 35(4)(2020), 1245-1254.
- H. Endo, Non-existence of almost cosymplectic manifolds satisfying a certain condition, Tensor (N.S.), 63(3)(2002), 272-284.
- A. Ghosh and R. Sharma, Classification of (κ, µ)-contact manifolds with divergence free Cotton tensor and vanishing Bach tensor, Ann. Polon. Math., 122(2)(2019), 153-163. https://doi.org/10.4064/ap180228-13-11
- T. Hamada, Real hypersurfaces of complex space forms in terms of Ricci *-tensor, Tokyo J. Math., 25(2002), 473-483. https://doi.org/10.3836/tjm/1244208866
- R. S. Hamilton, The Ricci flow on surfaces, Contemp. Math., 71(1988), 237-261. https://doi.org/10.1090/conm/071/954419
- G. Kaimakamis and K. Panagiotidou, *-Ricci solitons of real hypersurfaces in non-flat complex space forms, J. Geom. Phys., 86(2014), 408-413. https://doi.org/10.1016/j.geomphys.2014.09.004
- T. Koufogiorgos and C. Tsichlias, On the existence of a new class of contact metric manifolds, Canad. Math. Bull., 43(4)(2000), 400-447.
- T. Koufogiorgos, M. Markellos and V. J. Papantoniou, The harmonicity of the Reeb vector fields on contact metric 3-manifolds, Pacific J. Math., 234(2)(2008), 325-344. https://doi.org/10.2140/pjm.2008.234.325
- R. Sharma, Certain results on K-contact and (κ, µ)-contact manofolds, J. Geom., 89(2008), 138-147. https://doi.org/10.1007/s00022-008-2004-5
- R. Sharma and L. Vrancken, Conformal classification of (κ, µ)-contact manifolds, Kodai Math. J., 33(2010), 267-282. https://doi.org/10.2996/kmj/1278076342
- Y. J. Suh and U. C. De, Yamabe solitons and Ricci solitons on almost co-Kahler manifolds, Canad. Math. Bull., 62(3)(2019), 653-661. https://doi.org/10.4153/s0008439518000693
- S. Tachibana, On almost-analytic vectors in almost-Kahlerian manifolds, Tohoku Math. J., 11(1959), 247-265. https://doi.org/10.2748/tmj/1178244584
- K. Yano, On torse forming direction in a Riemannian space, Proc. Imp. Acad. Tokyo, 20(1944), 340-345.
- K. Yano, Integral formulas in Riemannian geometry, Marcel Dekker, New York(1970).