|
|
|
|
how many statistical structures and ricci flat affine connections are there on the tangent bundle?
|
|
|
|
|
|
|
|
نویسنده
|
peyghan esmaeil ,firuzi farshad ,de uday chand
|
|
منبع
|
international journal of nonlinear analysis and applications - 2024 - دوره : 15 - شماره : 1 - صفحه:225 -239
|
|
چکیده
|
In this paper, we consider the tangent bundle tm of a riemannian manifold (m, g) with the sasaki metric g and using the cauchy-kowalevski theorem, we answer the question of how many analytic statistical structures are there on (tm, g). also, we study the ricci tensor of linear affine connections on the tangent bundle tm. in addition, we answer the question of how many ricci flat affine connections with and without torsion are there on the tangent bundle.
|
|
کلیدواژه
|
cauchy-kowalevski theorem ,sasaki metrics ,statistical structures
|
|
آدرس
|
arak university, faculty of science, department of mathematics, iran, payame noor university, department of mathematics, iran, calcutta university, department of pure mathematics, india
|
|
پست الکترونیکی
|
uc_de@yahoo.com
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|