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Para-Ricci-like Solitons with Arbitrary Potential on Para-Sasaki-like Riemannian Π-Manifolds [PDF]

open access: greenMathematics, 2022
Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian Π-manifolds are introduced and studied. For the studied soliton, it is proved that its Ricci tensor is a constant multiple of the vertical component of both metrics.
Hristo Manev, Mancho Manev
doaj   +8 more sources

Ricci–Bourguignon Almost Solitons with Special Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds [PDF]

open access: greenMathematics
Almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds, are equipped with a pair of pseudo-Riemannian metrics that are mutually associated with each other using the tensor structure. Here, we consider a special class
Mancho Manev
doaj   +12 more sources

Metallic deformation on para-Sasaki-like para-Norden manifold

open access: goldAIMS Mathematics
The main goal of this paper is to define the concept of metallic deformation through a relation between the metallic structure and paracontact structure on an almost paracontact para-Norden manifold.
Rabia Cakan Akpınar, Esen Kemer Kansu
doaj   +4 more sources

Relations between Extrinsic and Intrinsic Invariants of Statistical Submanifolds in Sasaki-Like Statistical Manifolds [PDF]

open access: goldMathematics, 2021
The Chen first inequality and a Chen inequality for the δ(2,2)-invariant on statistical submanifolds of Sasaki-like statistical manifolds, under a curvature condition, are obtained.
Hülya Aytimur   +2 more
doaj   +7 more sources

Pair of Associated η-Ricci–Bourguignon Almost Solitons with Vertical Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds

open access: goldMathematics
The manifolds studied are almost contact complex Riemannian manifolds, known also as almost contact B-metric manifolds. They are equipped with a pair of pseudo-Riemannian metrics that are mutually associated to each other using an almost contact ...
Mancho Manev
doaj   +4 more sources

Para-Sasaki-like Riemannian manifolds and new Einstein metrics [PDF]

open access: greenRevista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2021
We determine a new class of paracontact paracomplex Riemannian manifolds derived from certain cone construction, called para-Sasaki-like Riemannian manifolds, and give explicit examples.
Stefan Ivanov   +2 more
semanticscholar   +6 more sources

Gradient almost Para-Ricci-like Solitons on Para-Sasaki-like Riemannian Pi-manifolds [PDF]

open access: diamondProceedings of the Bulgarian Academy of Sciences, 2022
Gradient almost para-Ricci-like solitons on para-Sasaki-like Riemannian Π-manifolds are studied. It is proved that these objects have constant soliton coefficients.
Hristo Manev
semanticscholar   +5 more sources

Slant and Legendre null curves in 3-dimensional Sasaki-like almost contact B-metric manifolds [PDF]

open access: greenJournal of Geometry, 2021
Object of study in the present paper are slant and Legendre null curves in 3-dimensional Sasaki-like almost contact B-metric manifolds. For the examined curves we express the general Frenet frame and the Frenet frame for which the original parameter is ...
Galia Nakova, Simeon Zamkovoy
semanticscholar   +8 more sources

Para-Ricci-like Solitons with Vertical Potential on Para-Sasaki-like Riemannian Π-Manifolds [PDF]

open access: goldSymmetry, 2021
The objects of study are para-Ricci-like solitons on para-Sasaki-like, almost paracontact, almost paracomplex Riemannian manifolds, namely, Riemannian Π-manifolds.
Hristo Manev
semanticscholar   +8 more sources

Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds [PDF]

open access: yesMathematics, 2022
A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric.
Mancho Manev
doaj   +4 more sources

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