References
- C. L. Bejan and M. Crasmareanu, Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry, Ann. Global Anal. Geom. 46 (2014), no. 2, 117-127. https://doi.org/10.1007/s10455-014-9414-4
- A. M. Blaga, Eta-Ricci solitons on para-Kenmotsu manifolds, Balkan J. Geom. Appl. 20 (2015), no. 1, 1-13.
- G. Calvaruso, Homogeneous paracontact metric three-manifolds, Illinois J. Math. 55 (2011), no. 2, 697-718 (2012). http://projecteuclid.org/euclid.ijm/1359762409 https://doi.org/10.1215/ijm/1359762409
- G. Calvaruso and A. Perrone, Ricci solitons in three-dimensional paracontact geometry, J. Geom. Phys. 98 (2015), 1-12. https://doi.org/10.1016/j.geomphys.2015.07.021
- G. Calvaruso and D. Perrone, Geometry of H-paracontact metric manifolds, Publ. Math. Debrecen 86 (2015), no. 3-4, 325-346. https://doi.org/10.5486/PMD.2015.6078
-
B. Cappelletti-Montano, A. Carriazo, and V. Martin-Molina, Sasaki-Einstein and paraSasaki-Einstein metrics from (
$k,\;{\mu}$ )-structures, J. Geom. Phys. 73 (2013), 20-36. https://doi.org/10.1016/j.geomphys.2013.05.001 - J. T. Cho and R. Sharma, Contact geometry and Ricci solitons, Int. J. Geom. Methods Mod. Phys. 7 (2010), no. 6, 951-960. https://doi.org/10.1142/S0219887810004646
- O. Chodosh and F. T.-H. Fong, Rotational symmetry of conical Kahler-Ricci solitons, Math. Ann. 364 (2016), no. 3-4, 777-792. https://doi.org/10.1007/s00208-015-1240-x
-
K. Erken and C. Murathan, A study of three-dimensional paracontact (
${\tilde{k}},\;{\tilde{\mu}},\;{\tilde{\nu}}$ )-spaces, Int. J. Geom. Methods Mod. Phys. 14 (2017), no. 7, 1750106, 35 pp. https://doi.org/10.1142/S0219887817501067 - A. Ghosh, Kenmotsu 3-metric as a Ricci soliton, Chaos Solitons Fractals 44 (2011), no. 8, 647-650. https://doi.org/10.1016/j.chaos.2011.05.015
-
A. Ghosh, An
$\eta$ -Einstein Kenmotsu metric as a Ricci soliton, Publ. Math. Debrecen 82 (2013), no. 3-4, 591-598. https://doi.org/10.5486/PMD.2013.5344 - A. Ghosh and D. S. Patra, The k-almost Ricci solitons and contact geometry, J. Korean Math. Soc. 55 (2018), no. 1, 161-174. https://doi.org/10.4134/JKMS.j170103
-
A. Ghosh and D. S. Patra, ∗-Ricci soliton within the frame-work of Sasakian and (
$k,\;{\mu}$ )-contact manifold, Int. J. Geom. Methods Mod. Phys. 15 (2018), no. 7, 1850120, 21 pp. https://doi.org/10.1142/S0219887818501207 - A. Ghosh and R. Sharma, Sasakian metric as a Ricci soliton and related results, J. Geom. Phys. 75 (2014), 1-6. https://doi.org/10.1016/j.geomphys.2013.08.016
- S. Kaneyuki and F. L. Williams, Almost paracontact and parahodge structures on manifolds, Nagoya Math. J. 99 (1985), 173-187. https://doi.org/10.1017/S0027763000021565
- V. Martin-Molina, Local classification and examples of an important class of paracontact metric manifolds, Filomat 29 (2015), no. 3, 507-515. https://doi.org/10.2298/FIL1503507M
- D. S. Patra, Ricci solitons and paracontact geometry, accepted in Mediterr. J. Math. (2019).
- A. Perrone, Some results on almost paracontact metric manifolds, Mediterr. J. Math. 13 (2016), no. 5, 3311-3326. https://doi.org/10.1007/s00009-016-0687-7
- S. Pigola, M. Rigoli, M. Rimoldi, and A. Setti, Ricci almost solitons, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 10 (2011), no. 4, 757-799.
-
R. Sharma, Certain results on K-contact and (
$k,\;{\mu}$ )-contact manifolds, J. Geom. 89 (2008), no. 1-2, 138-147. https://doi.org/10.1007/s00022-008-2004-5 - Y. Wang, Gradient Ricci almost solitons on two classes of almost Kenmotsu manifolds, J. Korean Math. Soc. 53 (2016), no. 5, 1101-1114. https://doi.org/10.4134/JKMS.j150416
- Y. Wang, Ricci solitons on almost Kenmotsu 3-manifolds, Open Math. 15 (2017), no. 1, 1236-1243. https://doi.org/10.1515/math-2017-0103
- Y. Wang and X. Liu, Ricci solitons on three-dimensional η-Einstein almost Kenmotsu manifolds, Taiwanese J. Math. 19 (2015), no. 1, 91-100. https://doi.org/10.11650/tjm.19.2015.4094
- K. Yano, Integral Formulas in Riemannian Geometry, Pure and Applied Mathematics, No. 1, Marcel Dekker, Inc., New York, 1970.
- S. Zamkovoy, Canonical connections on paracontact manifolds, Ann. Global Anal. Geom. 36 (2009), no. 1, 37-60. https://doi.org/10.1007/s10455-008-9147-3
- S. Zamkovoy and V. Tzanov, Non-existence of flat paracontact metric structures in dimension greater than or equal to five, Annuaire Univ. Sofia Fac. Math. Inform. 100 (2011), 27-34.