Open Accessβ-Change of Riemannian Space and Special Cases of one-form β
Author(s) -
Khageshwar Mandal
Publication year - 2018
Publication title -
journal of nepal mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2616-0161
pISSN - 2616-0153
DOI - 10.3126/jnms.v1i1.42172
Subject(s) - metric (unit) , pure mathematics , space (punctuation) , mathematics , degree (music) , homogeneous , projective test , function (biology) , riemannian geometry , fundamental theorem of riemannian geometry , mathematical analysis , linguistics , geometry , physics , combinatorics , philosophy , ricci curvature , operations management , evolutionary biology , acoustics , economics , biology , curvature
In this paper, we consider β-change of Finsler metric L given by L = f(L; β), where f is any positively homogeneous function of degree one in L and β. The objectives of the paper are to obtain the β-change of a Riemannian space, projective change of Finsler metric and to discuss the special cases of one-form β.