Concircular π-vector fields and special Finsler spaces
Advances in Pure Mathematics • 2013
معلومات البحث
المؤلفون
Nabil L. Youssef ; A. Soleiman
الكلمات المفتاحية
Finsler Manifold; Cartan Connection; Concurrent π-Vector Field; Concircular π-Vector Field; Special Finsler Space, Recurrent Finsler Space
المجلة العلمية
Advances in Pure Mathematics
الناشر
Not Available
المجلد
3
العدد
Not Available
الصفحات
282-291
publication.type
International
رابط البحث
Not Available
المواد المرفقة
Not Available
الملخص
The aim of the present paper is to investigate intrinsically the notion of a concircularπ-vector field in Finsler geometry. This generalizes the concept of a concircular vector field in Riemannian geometry and the concept of concurrent vector field in Finsler geometry. Some properties of concircular π-vector fields are obtained. Different types of recurrence are discussed. The effect of the existence of a concircular π-vector field on some important special Finsler spaces is investigated. Almost all results obtained in this work are formulated in a coordinate-free form.
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