Quasi-*Einstein Metric on Kenmotsu Manifolds

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Published: Dec 15, 2021
Keywords:
Quasi-*Einstein metric, Kenmotsu manifold, almost contact metric.

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Savita Rani
University School of Basic and Applied Sciences Guru Gobind Singh Indraprastha University, New Delhi-110078, India.
Ram Shankar Gupta
University School of Basic and Applied Sciences Guru Gobind Singh Indraprastha University, New Delhi-110078, India.

Abstract

In this paper, we study Kenmotsu manifolds with quasi-*Einstein metric and obtain that quasi-*Einstein soliton is expanding or steady.

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1.
Savita Rani, Ram Shankar Gupta. Quasi-*Einstein Metric on Kenmotsu Manifolds. J. Int. Acad. Phys. Sci. [Internet]. 2021 Dec. 15 [cited 2024 May 19];25(4):509-16. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/905
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Vol. 25 No. 4 (2021): Table of Content
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Articles
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References

W. M. Boothby and H. C. Wang, On contact manifolds, Ann. of Math., 68(3) (1958), 721-734, https://doi.org/10.2307/1970165.

K. Kenmotsu, A class of almost contact Riemannian manifolds, Tohoku Math. J., 24 (1972), 93-103.

G. Kaimakamis and K. Panagiotidou, -Ricci solitons of real hypersurfaces in non-flat complex space forms, J. Geom. Phys., 86 (2014), 408-413.

T. Hamada, Real hypersurfaces of complex space forms in terms of Ricci -tensor, Tokyo J. Math., 25 (2002), 473-483.

A. Ghosh, Ricci solitons and contact metric manifolds, Glasg. Math. J., 55(1) (2013), 123-130.

S. Tanno, The topology of contact Riemannian manifolds, Illinois J.Math., 12(4) (1968), 700-717.

J. Case, Y. Shu and G. Wei, Rigidity of quasi-Einstein metrics, Differential Geom. Appl., 29(1) (2010), 93-100.

A. Ghosh, Quasi-Einstein contact metric manifolds, Glasg. Math. J., 57(3) (2015), 569-577.

L. F. Wang, Rigid properties of quasi-Einstein metrics, Proc. Amer. Math. Soc., 139(10) (2011), 3679–3689.

Venkatesha, D. M. Naik and H. A. Kumara, -Ricci solitons and gradient almost -Ricci solitons on Kenmotsu manifolds, Math. Slovaca, 69(6) (2019), 1447-1458.

X. Chen, Quasi-Einstein structures and almost cosymplectic manifolds, RACSAM , 114(72) (2020).

D. E. Blair, Riemannian Geometry of Contact and Symplectic Manifolds, Birkhauser, Boston, 2002.

K. De and U. C. De, -almost Yamabe solitons on Kenmotsu manifolds, Honam Math. J., 43(1) (2021), 115-122.