Journal ArticleDOI
Torse-Forming η-Ricci Solitons in Almost Paracontact η-Einstein Geometry
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In this paper, a reduction result for parallel symmetric covariant tensor fields of order two was obtained for the parallel Ricci solitons with regularity and regularity conditions.Abstract:
Torse-forming $\eta $-Ricci solitons are studied in the framework of almost paracontact metric $\eta $-Einstein manifolds. By adding a technical condition, called regularity and concerning with the scalars provided by the two $\eta $-conditions, is obtained a reduction result for the parallel symmetric covariant tensor fields of order two.read more
Citations
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Solitons and geometrical structures in a perfect fluid spacetime
TL;DR: In this article, the curvature tensors of Ricci solitons in a perfect fluid spacetime are described in terms of different curvatures tensors and conditions for the Ricci Solitons to be steady, expanding or shrinking are also given.
Journal ArticleDOI
{\eta}-Ricci solitons on para-Sasakian manifolds
D. G. Prakasha,B. S. Hadimani +1 more
TL;DR: In this paper, the existence of Ricci solitons on para-Sasakian manifolds is studied and the non-existence of certain geometric characteristics of these metrics are studied.
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Solitons and geometrical structures in a perfect fluid spacetime
TL;DR: In this article, the curvature tensors of Ricci solitons in a perfect fluid spacetime are described in terms of different curvatures tensors and conditions for the Ricci Solitons to be steady, expanding or shrinking are also given.
Journal ArticleDOI
η-Ricci solitons and almost η-Ricci solitons on para-Sasakian manifolds
TL;DR: In this paper, the authors studied a para-Sakian manifold whose metric g is an η-Ricci soliton (g,V ) and almost η Ricci solitons.
Journal ArticleDOI
Ricci-like solitons on almost contact B-metric manifolds
TL;DR: In this article, Ricci-like solitons with potential Reeb vector field are studied on almost contact B-metric manifolds and it is proved that the manifold admits a Riccilike soliton if and only if the structure is Einstein-like.
References
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Some remarks on space with a certain contact structure
TL;DR: In this article, the authors studied the problem of finding a (φ, ξ, η, g)-connection in a space with a normal contact structure and proved that the space with such a contact structure is an Einstein space.
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Ricci solitons and real hypersurfaces in a complex space form
Jong Taek Cho,Makoto Kimura +1 more
TL;DR: In this article, it was shown that a real hypersurface in a non-flat complex space form does not admit a Ricci soliton whose potential vector field is the Reeb vector field.
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Second order parallel tensors and Ricci solitons in 3-dimensional normal paracontact geometry
TL;DR: In this paper, the authors studied the class of parallel symmetric tensor fields of dimension 3 and possible Lorentz Ricci solitons for paracontact geometry of dimension three.