Para-Ricci-like Solitons with Arbitrary Potential on Para-Sasaki-like Riemannian Π-Manifolds [PDF]
Mathematics, 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
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Ricci–Bourguignon Almost Solitons with Special Potential on Sasaki-like Almost Contact Complex Riemannian Manifolds [PDF]
MathematicsAlmost 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
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Relations between Extrinsic and Intrinsic Invariants of Statistical Submanifolds in Sasaki-Like Statistical Manifolds [PDF]
Mathematics, 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
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Pinching Theorems for Statistical Submanifolds in Sasaki-Like Statistical Space Forms
Entropy, 2018 In this paper, we obtain the upper bounds for the normalized δ -Casorati curvatures and generalized normalized δ -Casorati curvatures for statistical submanifolds in Sasaki-like statistical manifolds with constant curvature. Further,
Ali H. Alkhaldi +3 more
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Para-Ricci-Like Solitons on Riemannian Manifolds with Almost Paracontact Structure and Almost Paracomplex Structure [PDF]
Mathematics, 2021 We introduce and study a new type of soliton with a potential Reeb vector field on Riemannian manifolds with an almost paracontact structure corresponding to an almost paracomplex structure.
Hristo Manev, Mancho Manev
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Para-Sasaki-like Riemannian manifolds and new Einstein metrics [PDF]
Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2021 15 pages, v2: added completeness of the ...
Stefan Ivanov +2 more
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Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds [PDF]
Mathematics, 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
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Slant and Legendre null curves in 3-dimensional Sasaki-like almost contact B-metric manifolds [PDF]
Journal of Geometry, 2021 23 pages.
Galia Nakova
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Ricci-Like Solitons with Vertical Potential on Sasaki-Like Almost Contact B-Metric Manifolds [PDF]
Results in Mathematics, 2020 Ricci-like solitons on Sasaki-like almost contact B-metric manifolds are the object of study. Cases, where the potential of the Ricci-like soliton is the Reeb vector field or pointwise collinear to it, are considered. In the former case, the properties for a parallel or recurrent Ricci-tensor are studied.
Mancho Manev, Manev Mancho
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Metallic deformation on para-Sasaki-like para-Norden manifold
AIMS Mathematics<p>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. A Riemannian connection is obtained on a metallically deformed para-Sasaki-like para-Norden manifold.
Rabia Cakan Akpınar, Esen Kemer Kansu
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