Results 21 to 30 of about 3,067,810 (315)

Reeb vector field of almost contact metric structure as affine motion

open access: yesДифференциальная геометрия многообразий фигур, 2022
Smooth manifold with almost contact metric structure (i. e., almost contact metric manifold) was considered in this paper. We used a modern version of Cartan’s method of external forms to conduct our study.
L.A. Ignatochkina
doaj   +1 more source

Lifting semi-invariant submanifolds to distribution of almost contact metric manifolds

open access: yesДифференциальная геометрия многообразий фигур, 2020
Let M be an almost contact metric manifold of dimension n = 2m + 1. The distribution D of the manifold M admits a natural structure of a smooth manifold of dimension n = 4m + 1.
A. Bukusheva
doaj   +1 more source

On six-dimensional AH-submanifolds of class W1⊕W2⊕W4 in Cayley algebra

open access: yesДифференциальная геометрия многообразий фигур, 2020
Six-dimensional submanifolds of Cayley algebra equipped with an almost Hermitian structure of class W1 W2 W4 defined by means of three-fold vector cross products are considered.
G. A. Banaru
doaj   +1 more source

Certain results on almost contact pseudo-metric manifolds [PDF]

open access: yesJournal of Geometry, 2018
We study the geometry of almost contact pseudo-metric manifolds in terms of tensor fields $$h:=\frac{1}{2}\pounds _\xi \varphi $$h:=12£ξφ and $$\ell := R(\cdot ,\xi )\xi $$ℓ:=R(·,ξ)ξ, emphasizing analogies and differences with respect to the contact ...
V. Venkatesha, D. Naik, M. Tripathi
semanticscholar   +1 more source

Ricci-like solitons on almost contact B-metric manifolds [PDF]

open access: yes, 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
semanticscholar   +1 more source

An integral formula for Riemannian G-structures with applications to almost Hermitian and almost contact structures [PDF]

open access: yesAnnals of Global Analysis and Geometry, 2017
For a Riemannian G-structure, we compute the divergence of the vector field induced by the intrinsic torsion. Applying the Stokes theorem, we obtain the integral formula on a closed oriented Riemannian manifold, which we interpret in certain cases.
Kamil Niedziałomski
semanticscholar   +1 more source

COVARIENT DERIVATIVES OF ALMOST CONTACT STRUCTURE AND ALMOST PARACONTACT STRUCTURE WITH RESPECT TO $X^{C}$ AND $X^{V}$ ON TANGENT BUNDLE $T(M)$

open access: yes, 2016
The differential geometry of tangent bundles was studied by several authors, for example: D. E. Blair \cite{B76}, V. Oproiu \cite{O73}, A. Salimov \cite% {S13}, Yano and Ishihara \cite{YI73} and among others.
Hasim Cayir
semanticscholar   +1 more source

Existence of compatible contact structures on G₂ -manifolds [PDF]

open access: yes, 2013
In this paper, we show the existence of (co-oriented) contact structures on certain classes of G(2)-manifolds, and that these two structures are compatible in certain ways.
Arikan, M., Cho, H., Salur, S.
core   +1 more source

The topology of Stein fillable manifolds in high dimensions II [PDF]

open access: yes, 2015
We continue our study of contact structures on manifolds of dimension at least five using complex surgery theory. We show that in each dimension 2q+1 > 3 there are 'maximal' almost contact manifolds to which there is a Stein cobordism from any other (2q ...
Bowden, Jonathan   +3 more
core   +2 more sources

ALMOST PSEUDO CONTACT STRUCTURE

open access: yesCommunications of the Korean Mathematical Society, 2011
A new kind of structure is introduced in an even dimen- sional difierentiable Riemannian manifold and some basic properties of this structure is discussed. Also the existence of such structure is shown with an example.
Pratyay Debnath, Arabinda Konar
openaire   +2 more sources

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