On the Projective Algebra of Randers Metrics of Constant Flag Curvature
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
On the Projective Algebra of Randers Metrics of Constant Flag Curvature
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| Creator |
Rafie-Rad, M.
Rezaei, B. |
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| Description |
The collection of all projective vector fields on a Finsler space (M,F) is a finite-dimensional Lie algebra with respect to the usual Lie bracket, called the projective algebra denoted by p(M,F) and is the Lie algebra of the projective group P(M,F). The projective algebra p(M,F=α+β) of a Randers space is characterized as a certain Lie subalgebra of the projective algebra p(M,α). Certain subgroups of the projective group P(M,F) and their invariants are studied. The projective algebra of Randers metrics of constant flag curvature is studied and it is proved that the dimension of the projective algebra of Randers metrics constant flag curvature on a compact n-manifold either equals n(n+2) or at most is n(n+1)/2.
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| Date |
2019-02-14T17:58:53Z
2019-02-14T17:58:53Z 2011 |
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| Type |
Article
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| Identifier |
On the Projective Algebra of Randers Metrics of Constant Flag Curvature / M. Rafie-Rad, B. Rezaei // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 28 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 53C60; 53B50, 58J60 DOI: http://dx.doi.org/10.3842/SIGMA.2011.085 http://dspace.nbuv.gov.ua/handle/123456789/147412 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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