Results 1 to 10 of about 491 (101)

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, Adela Mihai, Cihan Özgür   +2 more
doaj   +6 more sources

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

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
doaj   +5 more sources

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

Mathematics
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   +6 more sources

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
doaj   +5 more sources

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 ...
Mancho Manev, Stefan Ivanov, Hristo Manev   +2 more
exaly   +3 more sources

Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds

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
doaj   +3 more sources

Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection

Mathematics, 2022
In this paper, we establish some inequalities between the normalized δ-Casorati curvatures and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds, endowed ...
Simona Decu
doaj   +3 more sources

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

Journal of Geometry, 2021
23 pages.
Nakova, Galia, Zamkovoy, Simeon
exaly   +4 more sources

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
exaly   +3 more sources

Sasaki-like almost contact complex Riemannian manifolds

Journal of Geometry and Physics, 2016
19 ...
Mancho Manev, Stefan Ivanov, Hristo Manev   +2 more
exaly   +4 more sources