Intrinsic measures and holomorphic retracts

Ian Graham

Vol. 130 (1987), No. 2, 299–311

DOI: 10.2140/pjm.1987.130.299

Abstract

In this paper we examine the consequences of the equality of the Eisenman and Carathéodory norms on k-vectors, 2 ≤ k ≤ n − 1, at a point in an n-dimensional complex manifold M. We also investigate the consequence of the existence of a large number of two-dimensional holomorphic retracts of a complex manifold—one tangent to each 2-vector at a given point.

Mathematical Subject Classification

Primary: 32H15

Milestones

Received: 31 July 1986

Revised: 6 January 1987

Published: 1 December 1987