Results 1 to 10 of about 277 (148)
Characterizations of Trivial Ricci Solitons
Advances in Mathematical Physics, 2020 Finding characterizations of trivial solitons is an important problem in geometry of Ricci solitons. In this paper, we find several characterizations of a trivial Ricci soliton.
Sharief Deshmukh +2 more
doaj +3 more sources
Conformally Flat Siklos Metrics Are Ricci Solitons
Axioms, 2020 We study and solve the Ricci soliton equation for an arbitrary locally conformally flat Siklos metric, proving that such spacetimes are always Ricci solitons.
Giovanni Calvaruso, Calvaruso Giovanni
exaly +3 more sources
h-Almost Ricci–Yamabe Solitons in Paracontact Geometry
Mathematics, 2022 In this article, we classify h-almost Ricci–Yamabe solitons in paracontact geometry. In particular, we characterize para-Kenmotsu manifolds satisfying h-almost Ricci–Yamabe solitons and 3-dimensional para-Kenmotsu manifolds obeying h-almost gradient ...
Uday Chand De +2 more
doaj +1 more source
A Note on Ricci Solitons [PDF]
Symmetry, 2020 In this paper, we characterize trivial Ricci solitons. We observe the important role of the energy function f of a Ricci soliton (half the squared length of the potential vector field) in the charectrization of trivial Ricci solitons. We find three characterizations of connected trivial Ricci solitons by imposing different restrictions on the energy ...
Sharief Deshmukh, Hana Alsodais
openaire +1 more source
Mathematics, 2023 This paper mainly devotes to the study of some solitons such as Ricci and Yamabe solitons and also their combination called Ricci-Yamabe solitons.
Vandana +3 more
doaj +1 more source
Generalized Ricci Solitons [PDF]
The Journal of Geometric Analysis, 2015 56 ...
Nurowski, Paweł~, Randall, Matthew
openaire +3 more sources
RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON NEARLY KENMOTSU MANIFOLDS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 In this paper, we study nearly Kenmotsu manifolds with Ricci soliton and we obtain certain conditions about curvature tensors.
Ayar, Gülhan, Yıldırım, Mustafa
openaire +5 more sources
Gradient Ricci–Yamabe Soliton on Twisted Product Manifolds
Journal of Mathematics, 2022 In this paper, we study the twisted product manifolds with gradient Ricci–Yamabe solitons. Then, we classify and characterize the warped product and twisted product spaces with gradient Ricci–Yamabe solitons.
Byung Hak Kim +3 more
doaj +1 more source
Gulf Journal of Mathematics, 2022 Abstract. In the present paper, we prove three fundamental results concerning almost ∗-Ricci soliton in the framework of para-Sasakian manifold. The paper is organised as follows:• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential vector field V is Jacobi along Reeb vector field ξ, then g becomes a ∗-Ricci soliton.• If a ...
Kundu, Satyabrota, Halder, S., De, K.
openaire +1 more source