Results 51 to 60 of about 220,418 (211)

A (CHR)3-flat trans-Sasakian manifold

open access: yesPracì Mìžnarodnogo Geometričnogo Centru, 2019
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]

open access: yes, 2010
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
core   +2 more sources

Pointwise Slant and Pointwise Semi-Slant Submanifolds in Almost Contact Metric Manifolds

open access: yesMathematics, 2020
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
doaj   +1 more source

Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2019
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
doaj   +1 more source

Sewing cells in almost cosymplectic and almost Kenmotsu geometry [PDF]

open access: yes, 2012
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

open access: yesپژوهش‌های ریاضی, 2021
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

open access: yesДифференциальная геометрия многообразий фигур, 2022
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
doaj   +1 more source

Geometric structures on loop and path spaces

open access: yes, 2010
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
core   +1 more source

Contact structures on 5-manifolds [PDF]

open access: yes, 2013
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

open access: yesComplex Manifolds, 2021
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
doaj   +1 more source

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