Results 1 to 10 of about 374,684 (258)

Almost contact metric 3-submersions

International Journal of Mathematics and Mathematical Sciences, 1984
An almost contact metric 3-submersion is a Riemannian submersion, π from an almost contact metric manifold (M4m+3,(φi,ξi,ηi)i=13,g) onto an almost quaternionic manifold (N4n,(Ji)i=13,h) which commutes with the structure tensors of type (1,1);i.e., π*φi ...
Bill Watson
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Statistical cosymplectic manifolds and their submanifolds

پژوهش‌های ریاضی, 2022
Introduction Let p(x,ζ) be the set of parametric probability distribution with parameter ζ=ζ1,…,ζn∊Rn. This set is called a statistical model or manifold. The distance between two points is measured by the Fisher metric. In general, statistical manifolds
Mohammad Bagher Kazemi, Shiva Salahvarzi
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Classification of contact structures associated with the CR-structure of the complex indicatrix

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2017
By regarding the complex indicatrix as an embedded CR-hypersurface of the holomorphic tangent bundle in a fixed point, we analyze some aspects of the relations between its CR structure and the considered contact structure.
Popovici Elena
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Generalized almost contact structures and generalized Sasakian structures

Osaka Journal of Mathematics, 2012
We introduce generalized almost contact structures which admit the $B$-field transformations on odd dimensional manifolds. We provide definition of generalized Sasakain structures from the view point of the generalized almost contact structures. We obtain a generalized Sasakian structure on a non-compact manifold which does not arise as a pair of ...
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From complex contact structures to real almost contact 3-structures

Annals of Global Analysis and Geometry, 2023
19 ...
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WEAK ALMOST CONTACT STRUCTURES: A SURVEY

Facta Universitatis, Series: Mathematics and Informatics
Weak almost contact structures, defined by the author and R. Wolak, allowed us to take a new look at the theory of contact manifolds. The paper surveys recent results (concerning geodesic and Killing fields, rigidity and splitting theorems, Riccitype solitons and Einstein-type metrics, etc.) in this new field of Riemannian geometry.
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Almost Ricci soliton in $Q^{m^{\ast}}$ [PDF]

AUT Journal of Mathematics and Computing
In this paper, we will focus our attention on the structure of $h$-almost Ricci solitons on complex hyperbolic quadric. We will prove non-existence a contact real hypersurface in the complex hyperbolic quadric $Q^{m^*}, m\geq 3$, admitting the gradient ...
Hamed Faraji, Shahroud Azami
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Admissible para-hyper-Kähler structures on distributions of almost contact metric manifolds

Дифференциальная геометрия многообразий фигур, 2018
The concepts of an admissible (almost) para-hyper-Kähler structure are introduced. On distribution of an almost contact metric manifold, as on the total space of a vector bundle, an admissible almost para-hyper­complex structure is defined.
S. Galaev
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Two theorems on (ϵ)-Sasakian manifolds

International Journal of Mathematics and Mathematical Sciences, 1998
In this paper, We prove that every (ϵ)-sasakian manifold is a hypersurface of an indefinite kaehlerian manifold, and give a necessary and sufficient condition for a Riemannian manifold to be an (ϵ)-sasakian manifold.
Xu Xufeng, Chao Xiaoli
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On quasi-Sasakian structure on a totally umbilical hypersurface of a six-dimensional Hermitian planar submanifold of Cayley algebra

Дифференциальная геометрия многообразий фигур, 2022
Six-dimensional planar submanifolds of Cayley algebra equipped with almost Hermitian structures induced by Brown — Gray three-fold vector cross products in are considered.
G.A. Banaru
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