Shoshichi Kobayashi's scientific contributions

Publication (1)

A complex Finsler structure F on a complex manifold M is a function on the tangent bundle T(M) with the following properties. (We denote a point of T(M) symbolically by (z, ζ), where z represents the base coordinate and ζ the fibre coordinate.)


... In particular, c 1 (O(1), F S P (N k )) is a positive (1, 1)-form. From Kobayashi [43], for general norms N k , the (1, 1)-current c 1 (O(1), F S P (N k )) is positive, cf. [36, §2.1] for details. ...