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Energy β-conformal change in Finsler geometry

International Journal of Geometric Methods in Modern Physics • 2012
العودة
معلومات البحث
المؤلفون A. Soleiman
الكلمات المفتاحية Energy β-conformal change; concurrent π-vector field; canonical spray; Barthel connection; Cartan connection; Berwald connection; Chern connection; Hashiguchi connection.
المجلة العلمية International Journal of Geometric Methods in Modern Physics
الناشر Not Available
المجلد 9
العدد 4
الصفحات 1250029 (21 pages)
publication.type International
رابط البحث Not Available
المواد المرفقة Not Available
الملخص
The present paper deals with a nontrivial generalization of both the conformal change and the energy β-change of a Finsler manifold (M,L). Using the notion of a concurrent π-vector field in Finsler geometry, we have introduced and investigated a new change, which we call “energy β-conformal change”. Interesting results of Finsler geometry corresponding to this change are obtained. These results, among others, generalize the results of the conformal change and the energy β-change in Finsler geometry. It is worth noting that the obtained results are formulated in a prospective modern coordinate-free form.