Results 51 to 60 of about 220,418 (211)
A (CHR)3-flat trans-Sasakian manifold
In [4] M. Prvanovic considered several curvaturelike tensors defined for Hermitian manifolds. Developing her ideas in [3], we defined in an almost contact Riemannian manifold another new curvaturelike tensor field, which is called a contact ...
Koji Matsumoto
doaj +1 more source
Linear Connections on Normal Almost Contact Manifolds with Norden Metric [PDF]
Families of linear connections are constructed on almost contact manifolds with Norden metric. An analogous connection to the symmetric Yano connection is obtained on a normal almost contact manifold with Norden metric and closed structural 1-form.
Teofilova, Marta
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Pointwise Slant and Pointwise Semi-Slant Submanifolds in Almost Contact Metric Manifolds
In almost contact metric manifolds, we consider two kinds of submanifolds: pointwise slant, pointwise semi-slant. On these submanifolds of cosymplectic, Sasakian and Kenmotsu manifolds, we obtain characterizations and study their topological properties ...
Kwang Soon Park
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Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold
First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
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Sewing cells in almost cosymplectic and almost Kenmotsu geometry [PDF]
For a finite family of 3-dimensional almost contact metric manifolds with closed the structure form $\eta$ is described a construction of an almost contact metric manifold, where the members of the family are building blocks - cells.
Dacko, Piotr
core
On the Classifying of the Tangent Sphere Bundle with Almost Contact B-Metric Structure
One of the classical fundamental motifs in differential geometry of manifolds is the notion of the almost contact structure. As a counterpart of the almost contact metric structure, the notion of the almost contact B-metric structure has been an ...
Esmaeil Peyghan, Farshad Firuzi
doaj
On the geometry of generalized nonholonomic Kenmotsu manifolds
The concept of a generalized nonholonomic Kenmotsu manifold is introduced. In contrast to the previously defined nonholonomic Kenmotsu manifold, the manifold studied in the article is an almost normal almost contact metric manifold of odd rank.
A.V. Bukusheva
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Geometric structures on loop and path spaces
Is is known that the loop space associated to a Riemannian manifold admits a quasi-symplectic structure. This article shows that this structure is not likely to recover the underlying Riemannian metric by proving a result that is a strong indication of ...
A. Pressley +6 more
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Contact structures on 5-manifolds [PDF]
Using recent work on high dimensional Lutz twists and families of Weinstein structures we show that any almost contact structure on a 5-manifold is homotopic to a contact structure.Comment: 18 pages, 1 figure, fixed a potential gap in the proof of the ...
Etnyre, John B.
core
Partially integrable almost CR structures
Let (M, D) be a compact contact manifold with dimRM = 2n ≥ 5. This means that: M is a C∞ differential manifold with dimRM = 2n ≥ 5. And D is a subbundle of the tangent bundle TM which satisfying; there is a real one form θ such that D = {X : X ∈ TM, θ(X)
Akahori Takao
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