Note on Generalized Metrics on Complex Manifolds

摘要

In 1981, Hojo introduced a generalized metric function PHI/sup (P)/, p(not =1) is a real number in a Finsler space and studied some beautiful consequences of such a metric function. The aim of this paper is to investigate the possibility of introducing a similar metric function on a complex manifold studied by Rund. It is interesting to note that such an introduction is unnatural for values of p other than 2, which corresponds to the metric function introduced by Rund. 3 refs. (Atomindex citation 18:015242)