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On the structure tensors of almost contact B-metric manifolds [PDF]

Filomat, 2014
The space of the structure (0,3)-tensors of the covariant derivatives of the structure endomorphism and the metric on almost contact B-metric manifolds is considered.
Manev, Hristo
core   +3 more sources

Reeb vector field of almost contact metric structure as affine motion

Дифференциальная 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   +2 more sources

From Yamabe to almost contact metric structure [PDF]

Acta et Commentationes Universitatis Tartuensis de Mathematica
The investigation of Yamabe solitons within almost contact metric manifolds has garnered significant interest recently, producing notable findings. This paper aims to explore the inverse problem: constructing almost contact metric structures on a three ...
Beldjilali, Gherici, Delloum, Adel
core   +3 more sources

Conformal Gauge Transformations in Thermodynamics [PDF]

Entropy, 2015
In this work, we show that the thermodynamic phase space is naturally endowed with a non-integrable connection, defined by all of those processes that annihilate the Gibbs one-form, i.e., reversible processes. We argue that such a connection is invariant
Alessandro Bravetti, Cesar S Lopez-Monsalvo, Francisco Nettel   +2 more
doaj   +4 more sources

Prolonged almost quazi-Sasakian structures

Дифференциальная геометрия многообразий фигур, 2021
The notion of an almost quasi-Sasakian manifold is introduced. A ma­nifold with an almost quasi-Sasakian structure is a generalization of a quasi-Sasakian manifold; the difference is that an almost quasi-Sasakian manifold is almost normal.
S.V. Galaev
doaj   +1 more source

On nearly Kählerian manifolds and quasi-Sasakian hypersurfaces axiom

Дифференциальная геометрия многообразий фигур, 2021
It is known that an almost contact metric structure is induced on an arbitrary hypersurface of an almost Hermitian manifold. The case when the almost Hermitian manifold is nearly Kählerian and the almost contact metric structure on its hypersurface is ...
G.A. Banaru
doaj   +1 more source

Contact Twistor Spaces and Almost Contact Metric Structures [PDF]

Mediterranean Journal of Mathematics, 2016
typos corrected, minor ...
Davidov, Johann, Yankov, Christian L.
openaire   +3 more sources

Contact and almost contact structures on the real extension of the Lobachevsky plane

Учёные записки Казанского университета: Серия Физико-математические науки, 2021
In this article, we propose a group model G of a real extension of the Lobachevsky plane H2 × R . The group G is a Lie group of special-form matrices and a subgroup of the general linear group GL(3, R).
V.I. Pan’zhenskii, A.O. Rastrepina
doaj   +1 more source

Bi-paracontact structures and Legendre foliations [PDF]

, 2002
We study almost bi-paracontact structures on contact manifolds. We prove that if an almost bi-paracontact structure is defined on a contact manifold $(M,\eta)$, then under some natural assumptions of integrability, $M$ carries two transverse bi ...
Kofinas, G., Papantonopoulos, E., Zamarias, V.   +2 more
core   +9 more sources

Nearly Sasakian Manifolds of Constant Type

Axioms, 2022
The article deals with nearly Sasakian manifolds of a constant type. It is proved that the almost Hermitian structure induced on the integral manifolds of the maximum dimension of the first fundamental distribution of the nearly Sasakian manifold is a ...
Aligadzhi Rustanov
doaj   +1 more source