Results 21 to 30 of about 7,358 (157)
Para-Sasaki-like Manifolds with Generalized Symmetric Metric Connection
, 2023 The present paper deals with the generalized symmetric metric connection defined on para-Sasaki-like manifolds. We derive a relation between the Levi-Civita connection and the generalized symmetric metric conneciton on the considered manifold. We investigate the curvature tensor, the Ricci tensor and scalar curvature tensor with respect to the ...
Bulut, Şenay, İnselöz, Pınar
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, 2022 In the present paper, we introduce a new class of structures on an even dimensional differentiable Riemannian manifold which combines, well known in literature, the Sasakian and Kenmotsu structures simultaneously.
Gezer, Aydın +2 more
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Curvature of the completion of the space of Sasaki potentials [PDF]
, 2023 Given a compact Sasaki manifold, we endow the space of the Sasaki potentials with an analogue of the Mabuchi metric.
Franzinetti, Thomas
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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.
Aytimur, Hülya, Özgür, Cihan
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Homogeneous non-degenerate 3-(α,δ)-Sasaki manifolds and submersions over quaternionic Kähler spaces [PDF]
, 2021 We show that every 3-(α, δ) -Sasaki manifold of dimension 4n+ 3 admits a locally defined Riemannian submersion over a quaternionic Kähler manifold of scalar curvature 16n(n+ 2)αδ.
Stecker L., Agricola I., Dileo G.
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Manifold-like matchbox manifolds [PDF]
, 2017 A matchbox manifold is a generalized lamination, which is a continuum whose arc-components define the leaves of a foliation of the space. The main result of this paper implies that a matchbox manifold which is manifold-like must be homeomorphic to a weak
Hurder, S +8 more
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, 2023 In this paper, first, we introduce the Berger-type deformed Sasaki metric on the cotangent bundle $T^{\ast}M$ over a K\"{a}hlerian manifold $(M^{2m}, J, g)$ and investigate the Levi-Civita connection of this metric.
Zagane, Abderrahim, Abderrahim Zagane
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Global aspects of doubled geometry and pre-rackoid [PDF]
, 2020 The integration problem of a C-bracket and a Vaisman (metric, pre-DFT) algebroid which are geometric structures of double field theory (DFT) is analyzed.
N. Ikeda, S. Sasaki
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Ricci-like solitons on almost contact B-metric manifolds [PDF]
, 2019 Ricci-like solitons with potential Reeb vector field are introduced and studied on almost contact B-metric manifolds. The cases of Sasaki-like manifolds and torse-forming potentials have been considered.
M. Manev
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Doubled aspects of Vaisman algebroid and gauge symmetry in double field theory [PDF]
Journal of Mathematics and Physics, 2019 The metric algebroid proposed by Vaisman (the Vaisman algebroid) governs the gauge symmetry algebra generated by the C-bracket in double field theory (DFT).
Haruka Mori, S. Sasaki, Kenta Shiozawa
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