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Fields of fundamental and embracing geometric objects of a regular hyperband with central framing of a projective space

Дифференциальная геометрия многообразий фигур, 2022
The study of hyperbands and their generalizations in spaces with dif­ferent fundamental groups is of great interest in connection with numer­ous applications in mathematics and physics. In this paper, we study a special class of hyperbands, i.
N.A. Eliseeva, Yu. I. Popov
doaj   +3 more sources

Groups of basic automorphisms of chaotic Cartan foliations with Eresmann connection [PDF]

Известия высших учебных заведений: Прикладная нелинейная динамика
The purpose of the work is to study the groups of basic automorphisms of chaotic Cartan foliations with Ehresmann connection. Cartan foliations form a category where automorphisms preserve not only the foliation, but also its transverse Cartan geometry ...
Zhukova, Nina Ivanovna, Sheina, Kseniya Igorevna   +1 more
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Geometry of product complex Cartan manifolds

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015
In this paper we consider the product of two complex Cartan manifolds, the outcome being a class of product complex Cartan spaces. Then, we study the relationships between the geometric objects of a product complex Cartan space and its components, (e.g ...
Aldea Nicoleta, Munteanu Gheorghe
doaj   +2 more sources

Explicit expression of Cartan’s connection for Levi-nondegenerate 3-manifolds in complex surfaces, and identification of the Heisenberg sphere

Central European Journal of Mathematics, 2012
Joel MERKER, Masoud Sabzevari
exaly   +2 more sources

Basic automorphisms of cartan foliations covered by fibrations

Известия высших учебных заведений. Поволжский регион: Физико-математические науки, 2021
Background. This work is devoted to the study of basic automorphisms AB (M,F) groups of Cartan foliations (M,F) covered by fibrations, and to finding sufficient conditions for the existence of a finite-dimensional Lie group structure in AB (M,F) . The
K.I. Sheina
doaj   +1 more source

The gauging procedure and carrollian gravity

Journal of High Energy Physics, 2022
We discuss a gauging procedure that allows us to construct lagrangians that dictate the dynamics of an underlying Cartan geometry. In a sense to be made precise in the paper, the starting datum in the gauging procedure is a Klein pair corresponding to a ...
José Figueroa-O’Farrill, Emil Have, Stefan Prohazka, Jakob Salzer   +3 more
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Curvature-torsion quasitensor of Laptev fundamental-group connection

Дифференциальная геометрия многообразий фигур, 2020
We consider a space with Laptev's fundamental group connection generalizing spaces with Cartan connections. Laptev structural equations are reduced to a simpler form.
Yu. I. Shevchenko
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Glued linear connection on surface of the projective space

Дифференциальная геометрия многообразий фигур, 2020
We consider a surface as a variety of centered planes in a multidi­mensional projective space. A fiber bundle of the linear coframes appears over this manifold. It is important to emphasize the fiber bundle is not the principal bundle.
K.V. Bashashina
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Сurvature-torsion tensor for Cartan connection

Дифференциальная геометрия многообразий фигур, 2019
A Lie group containing a subgroup is considered. Such a group is a principal bundle, a typical fiber of this principal bundle is the subgroup and a base is a homogeneous space, which is obtained by factoring the group by the subgroup.
Yu. Shevchenko
doaj   +1 more source

Deformation theory of holomorphic Cartan geometries, II

Complex Manifolds, 2022
In this continuation of [4], we investigate the deformations of holomorphic Cartan geometries where the underlying complex manifold is allowed to move. The space of infinitesimal deformations of a flat holomorphic Cartan geometry is computed.
Biswas Indranil, Dumitrescu Sorin, Schumacher Georg   +2 more
doaj   +1 more source