Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras

Almost Contact Metric Structures on 5-Dimensional Nilpotent Lie Algebras

We study almost contact metric structures on 5-dimensional nilpotent Lie algebras and investigate the class of left invariant almost contact metric structures on corresponding Lie groups. We determine certain classes that a five-dimensional nilpotent Lie group can not be equipped with.

Bibliographic Details
Main Authors:	Nülifer Özdemir, Mehmet Solgun, Şirin Aktay
Format:	Article
Language:	English
Published:	MDPI AG 2016-08-01
Series:	Symmetry
Subjects:	5-dimensional nilpotent Lie algebra almost contact metric structure left invariant almost contact metric structure
Online Access:	http://www.mdpi.com/2073-8994/8/8/76

Similar Items

On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds
by: Nülifer Özdemir, et al.
Published: (2019-02-01)

On constructing almost complex Norden metric structures
by: Mehmet Solgun
Published: (2022-08-01)

Lifting semi-invariant submanifolds to distribution of almost contact metric manifolds
by: A. Bukusheva
Published: (2020-08-01)

Contact and almost contact structures on the real extension of the Lobachevsky plane
by: V.I. Pan’zhenskii, et al.
Published: (2021-12-01)

On the Classifying of the Tangent Sphere Bundle with Almost Contact B-Metric Structure
by: Esmaeil Peyghan, et al.
Published: (2021-12-01)

Central Extensions of Nilpotent Lie and Leibniz Algebras
by: Langari, Mouna Bibi
Published: (2010)

Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds
by: Mancho Manev
Published: (2022-02-01)

Prolonged almost quazi-Sasakian structures
by: S.V. Galaev
Published: (2021-08-01)

On six-dimensional AH-submanifolds of class W1⊕W2⊕W4 in Cayley algebra
by: G. A. Banaru
Published: (2020-08-01)

The Variety of 7-Dimensional 2-Step Nilpotent Lie Algebras
by: María Alejandra Alvarez
Published: (2018-01-01)

On the almost contact metric structure of cosymplectic type on a hypersurface of a Kähler manifold
by: G. Banaru
Published: (2018-08-01)

On dimension of Lie Algebras and nilpotent Lie algebras
by: Homayoon Arabyani
Published: (2022-02-01)

On some almost contact metric hypersurfaces of W4-manifolds
by: M. Banaru
Published: (2018-08-01)

Pointwise Slant and Pointwise Semi-Slant Submanifolds in Almost Contact Metric Manifolds
by: Kwang Soon Park
Published: (2020-06-01)

Invariance of some classes of almost Hermitian structures concerning to the one-parameter group of diffeomorphisms generated by the Lie vector field
by: S.V. Khokhlov, et al.
Published: (2022-11-01)

Almost Riemann Solitons with Vertical Potential on Conformal Cosymplectic Contact Complex Riemannian Manifolds
by: Mancho Manev
Published: (2022-12-01)

Real hypersurfaces in complex space forms with special almost contact structures
by: Quanxiang Pan
Published: (2023-09-01)

On classification of (n + 6)-dimensional nilpotent n-Lie algebras of class 2 with n ≥ 4
by: Mehdi Jamshidi, et al.
Published: (2021-07-01)

Reeb vector field of almost contact metric structure as affine motion
by: L.A. Ignatochkina
Published: (2022-11-01)

Almost complex manifolds with holomorphic distributions
by: A. BONOME, et al.
Published: (1994-03-01)

On a property of W4 -manifolds
by: M.B. Banaru
Published: (2020-08-01)

Almost Kaehlerian and Hermitian Structures on Four Dimensional Indecomposable Lie Algebras
by: Mehmet Solgun
Published: (2022-09-01)

Symbolic and Iterative Computation of Quasi-Filiform Nilpotent Lie Algebras of Dimension Nine
by: Mercedes Pérez, et al.
Published: (2015-10-01)

Classification of left invariant metrics on 4-dimensional solvable Lie groups
by: Šukilović Tijana
Published: (2020-01-01)

Classification Of Low Dimensional Nilpotent Leibniz Algebras Using Central Extensions
by: Langari, Seyed Jalal
Published: (2010)

Nilpotent Lie algebras of derivations with the center of small corank
by: Y.Y. Chapovskyi, et al.
Published: (2020-06-01)

Construction of Nilpotent and Solvable Lie Algebra in Picture Fuzzy Environment
by: Sajida Kousar, et al.
Published: (2023-03-01)

Pairs of Associated Yamabe Almost Solitons with Vertical Potential on Almost Contact Complex Riemannian Manifolds
by: Mancho Manev
Published: (2023-06-01)

Yamabe Solitons on Conformal Almost-Contact Complex Riemannian Manifolds with Vertical Torse-Forming Vector Field
by: Mancho Manev
Published: (2023-01-01)

Hyperbolic normal almost contactmetric hypersurfaces in Euclidean 4-dimensional space
by: Angelė Baškienė
Published: (2005-12-01)

On six-dimensional Vaisman — Gray submanifolds of the octave algebra
by: M. Banaru
Published: (2019-08-01)

Locally conformally balanced metrics on almost abelian Lie algebras
by: Paradiso Fabio
Published: (2021-07-01)

Vector cross products and almost contact structures
by: Paola Matzeu, et al.
Published: (2002-01-01)

On nearly Kählerian manifolds and quasi-Sasakian hypersurfaces axiom
by: G.A. Banaru
Published: (2021-08-01)

On maximality of some solvable and locally nilpotent subalgebras of the Lie algebra $W_n(K)$
by: D.I. Efimov, et al.
Published: (2023-12-01)

Almost <i>α</i>-Kenmotsu Pseudo-Riemannian Manifolds with CR-Integrable Structure
by: Hakan Öztürk, et al.
Published: (2023-01-01)

Cosymplectic and α-cosymplectic Lie algebras
by: Calvaruso Giovanni, et al.
Published: (2016-10-01)

Fixed Point Theorems for Almost Contractions in Extended b-metric Spaces
by: Vildan Öztürk
Published: (2021-09-01)

Remarkable Classes of Almost 3-Contact Metric Manifolds
by: Giulia Dileo
Published: (2021-01-01)

On Isoclinic Extensions of Lie Algebras and Nilpotent Lie Algebras
by: Arabyani Homayoon, et al.
Published: (2021-05-01)