Schur’s Lemma and curvature’s in Riemannian Finsler manifolds
محل انتشار: اولین همایش ملی ریاضی و آمار
سال انتشار: 1395
نوع سند: مقاله کنفرانسی
زبان: انگلیسی
مشاهده: 411
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شناسه ملی سند علمی:
MSCONFKHA01_013
تاریخ نمایه سازی: 11 مرداد 1396
چکیده مقاله:
We conclude by discussing the curvatures R and P of two important classes of Finsler spaces. This is the follow- up of the discussion we gave, at the end of their chern connections. Therefore, we now illustrate the usefulness of some of ourVianchi identities in the study of the flag curvature of Riemannian geometry. Further more, the flag curvature is insensitive to whether one is using the chern, cartan, Berwald, orHashiguchi- connection. Then, we calculate the flag curvature for a family of examples that are valid in all dimensions. These examples are interesting because their flag curvatures do not depend on the transverse edges V at all. Moreover, the flag curvatures in question have a simple nonconstant dependence on the basepoint x and the flagpole y. in this paper, we make precise the relation in the flag curvature. InRiemannian geometry, the full cuvature tensor is expressible as a sum of dectional curvatures, each multiplied by the area of the corresponding parallelogram or flag. How ever, for this mater, the Berwald connection is particulary suited for the study of Finsler spaces constant flag curvature.
کلیدواژه ها:
نویسندگان
Elham Meihami
Master of Mathematics PNU of Tabriz (Pure Mathematics geometry)