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Masoumi, Saeedeh. (1399). Projective vector fields on special (α,β)-metrics. سامانه مدیریت نشریات علمی, 1(2), 83-93. doi: 10.22098/jfga.2020.1242
Saeedeh Masoumi. "Projective vector fields on special (α,β)-metrics". سامانه مدیریت نشریات علمی, 1, 2, 1399, 83-93. doi: 10.22098/jfga.2020.1242
Masoumi, Saeedeh. (1399). 'Projective vector fields on special (α,β)-metrics', سامانه مدیریت نشریات علمی, 1(2), pp. 83-93. doi: 10.22098/jfga.2020.1242
Masoumi, Saeedeh. Projective vector fields on special (α,β)-metrics. سامانه مدیریت نشریات علمی, 1399; 1(2): 83-93. doi: 10.22098/jfga.2020.1242

Projective vector fields on special (α,β)-metrics

Journal of Finsler Geometry and its Applications
دوره 1، شماره 2، اسفند 2020، صفحه 83-93    اصل مقاله (88.49 K)
نوع مقاله: Original Article
شناسه دیجیتال (DOI): 10.22098/jfga.2020.1242
نویسنده
Saeedeh Masoumi*
Department of Mathematics, Faculty of Science, Urmia University, Urmia, Iran. E-mail: s.masoumi94@gmail.com
چکیده
In this paper, we study the projective vector fields on two special
(α,β)-metrics, namely Kropina and Matsumoto metrics. First, we consider
the Kropina metrics, and show that if a Kropina metric F = α2/β admits
a projective vector field, then this is a conformal vector field with respect to
Riemannian metric a or F has vanishing S-curvature. Then we study the
Matsumoto metric F = α2/(α−β) and prove that if the Matsumoto metric
F = α2/β admits a projective vector field, then this is a conformal vector field
with respect to Riemannian metric a or F has vanishing S-curvature.
کلیدواژه‌ها
Projective vector field؛ Kropina metric؛ Matsumoto metric؛ S-curvature
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