Results 11 to 20 of about 18,895 (116)
Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection [PDF]
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
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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.
Mancho Manev
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New Trends in Mathematical Science, 2018 The aim of the present paper is to establish a criterion for an indefinite Sasaki-like almost contact manifold with B-metric to reduce to a space of φ-holomorphic sectional curvature.
Anu Devgan, R. K. Nagaich
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Sasaki-like almost contact complex Riemannian manifolds [PDF]
Journal of Geometry and Physics, 2016 19 ...
Stefan Ivanov +2 more
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Pinching Theorems for Statistical Submanifolds in Sasaki-Like Statistical Space Forms [PDF]
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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Results in Mathematics, 2022 Ricci-like solitons with arbitrary potential are introduced and studied on Sasaki-like almost contact B-metric manifolds. A manifold of this type can be considered as an almost contact complex Riemannian manifold which complex cone is a holomorphic ...
Манчо Манев
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Para-Sasaki-like Riemannian manifolds with generalized symmetric metric connection
FilomatThe present paper deals with the generalized symmetric metric connection defined on para-Sasaki-like Riemannian manifolds. We derive a relation between the Levi-Civita connection and the generalized symmetric metric conneciton on the considered manifold.
Şenay Bulut, Pınar İnselöz
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Inequalities for submanifolds of Sasaki-like statistical manifolds
TURKISH JOURNAL OF MATHEMATICS, 2018 Summary: We consider statistical submanifolds in Sasaki-like statistical manifolds. We give some examples of invariant and antiinvariant submanifolds of Sasaki-like statistical manifolds. We prove Chen-like inequality involving scalar curvature and Chen-Ricci inequality for these kinds of submanifolds.
Hülya Aytimur, Cıhan Özgür
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MathematicsThe subject of this study is almost contact complex Riemannian manifolds, also known as almost contact B-metric manifolds. The considerations are restricted to a special class of these manifolds, namely those of the Sasaki-like type, because of their ...
Mancho Manev
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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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